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Экстремум — Wikipedia

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/\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ci\u003E\u003Ca href=\"/wiki/2024_%D0%B5%D0%BB#Вафатлар\" title=\"2024 ел\"\u003EХәтерТактасы\u003C/a\u003E\u003C/i\u003E\u003C/u\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%90%D0%BA%D1%8B%D0%BB%D0%BB%D1%8B_%D0%A2%D0%B0%D1%82%D0%B0%D1%80%D1%81%D1%82%D0%B0%D0%BD/%D0%95%D0%BB_%D0%BF%D1%80%D0%BE%D0%B5%D0%BA%D1%82%D1%8B\" title=\"Википедия:Акыллы Татарстан/Ел проекты\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/12px-2021TatarstanYearLogo-1.jpg\" decoding=\"async\" width=\"12\" height=\"12\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/18px-2021TatarstanYearLogo-1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/24px-2021TatarstanYearLogo-1.jpg 2x\" data-file-width=\"1626\" data-file-height=\"1626\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%90%D0%BA%D1%8B%D0%BB%D0%BB%D1%8B_%D0%A2%D0%B0%D1%82%D0%B0%D1%80%D1%81%D1%82%D0%B0%D0%BD/%D0%95%D0%BB_%D0%BF%D1%80%D0%BE%D0%B5%D0%BA%D1%82%D1%8B\" title=\"Википедия:Акыллы Татарстан/Ел проекты\"\u003EЕлПроекты\u003C/a\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9C%D0%B0%D1%80%D0%B0%D1%84%D0%BE%D0%BD%D0%BD%D0%B0%D1%80/%D0%90%D0%B3%D1%8B%D0%BC%D0%B4%D0%B0%D0%B3%D1%8B%D0%BB%D0%B0%D1%80\" title=\"Википедия:Марафоннар/Агымдагылар\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Olympic_pictogram_Athletics.png/12px-Olympic_pictogram_Athletics.png\" decoding=\"async\" width=\"12\" height=\"12\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Olympic_pictogram_Athletics.png/18px-Olympic_pictogram_Athletics.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/85/Olympic_pictogram_Athletics.png/24px-Olympic_pictogram_Athletics.png 2x\" data-file-width=\"300\" data-file-height=\"300\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9C%D0%B0%D1%80%D0%B0%D1%84%D0%BE%D0%BD%D0%BD%D0%B0%D1%80/%D0%90%D0%B3%D1%8B%D0%BC%D0%B4%D0%B0%D0%B3%D1%8B%D0%BB%D0%B0%D1%80\" title=\"Википедия:Марафоннар/Агымдагылар\"\u003EАгымдагыМарафоннар\u003C/a\u003E\u003C/b\u003E: \u003Ci\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%A2%D3%A9%D0%B1%D3%99%D0%BA_%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B0%D1%82%D0%BD%D0%B0%D0%BB%D1%8B%D0%B3%D1%8B\" title=\"Википедия:Проект:Төбәк тематик атналыгы\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/20px-World_Map_%28political%29.svg.png\" decoding=\"async\" width=\"20\" height=\"10\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/30px-World_Map_%28political%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/40px-World_Map_%28political%29.svg.png 2x\" data-file-width=\"1920\" data-file-height=\"975\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ca href=\"/wiki/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%A2%D3%A9%D0%B1%D3%99%D0%BA_%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B0%D1%82%D0%BD%D0%B0%D0%BB%D1%8B%D0%B3%D1%8B\" title=\"Проект:Төбәк тематик атналыгы\"\u003EТөбәкАтналыгы\u003C/a\u003E\u003C/u\u003E\u003C/i\u003E \u003Ci\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%90%D0%B7%D0%B8%D1%8F_%D0%B0%D0%B5_2024\" title=\"Википедия:Проект:Азия ае 2024\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/20px-Wikipedia_Asian_Month_Logo.svg.png\" decoding=\"async\" width=\"20\" height=\"22\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/30px-Wikipedia_Asian_Month_Logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/40px-Wikipedia_Asian_Month_Logo.svg.png 2x\" data-file-width=\"512\" data-file-height=\"555\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ca href=\"/wiki/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%90%D0%B7%D0%B8%D1%8F_%D0%B0%D0%B5_2024\" title=\"Проект:Азия ае 2024\"\u003EАзия ае 2024\u003C/a\u003E\u003C/u\u003E\u003C/i\u003E\u003C/small\u003E\n\u003C/small\u003E\u003C/div\u003E\u003Csmall\u003E\n\u003Cdiv style=\"clear: both;\"\u003E\u003C/div\u003E\n\u003C/small\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сайт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Эчтәлек" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Эчтәлек</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">переместить в боковую панель</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">яшерү</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Башы</div> </a> </li> <li id="toc-Билгеләмәләр" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Билгеләмәләр"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Билгеләмәләр</span> </div> </a> <ul id="toc-Билгеләмәләр-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Сылтамалар" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Сылтамалар"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Сылтамалар</span> </div> </a> <ul id="toc-Сылтамалар-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Эчтәлек" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Отобразить/Скрыть содержание" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Отобразить/Скрыть содержание</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Экстремум</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Перейти к статье на другом языке. Доступно на 52 языках" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-52" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">52 тел</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D9%84%D9%86%D9%82%D8%A7%D8%B7_%D8%A7%D9%84%D8%AD%D8%AF%D9%8A%D8%A9" title="النقاط الحدية — гарәп" lang="ar" hreflang="ar" data-title="النقاط الحدية" data-language-autonym="العربية" data-language-local-name="гарәп" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Ekstremum" title="Ekstremum — әзәрбайҗан" lang="az" hreflang="az" data-title="Ekstremum" data-language-autonym="Azərbaycanca" data-language-local-name="әзәрбайҗан" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/E%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" title="Eкстремум — болгар" lang="bg" hreflang="bg" data-title="Eкстремум" data-language-autonym="Български" data-language-local-name="болгар" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/M%C3%A0xims_i_m%C3%ADnims" title="Màxims i mínims — каталан" lang="ca" hreflang="ca" data-title="Màxims i mínims" data-language-autonym="Català" data-language-local-name="каталан" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Extr%C3%A9m_funkce" title="Extrém funkce — чех" lang="cs" hreflang="cs" data-title="Extrém funkce" data-language-autonym="Čeština" data-language-local-name="чех" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" title="Экстремум — чувашский" lang="cv" hreflang="cv" data-title="Экстремум" data-language-autonym="Чӑвашла" data-language-local-name="чувашский" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Uchafbwyntiau_ac_isafbwyntiau" title="Uchafbwyntiau ac isafbwyntiau — уэльс" lang="cy" hreflang="cy" data-title="Uchafbwyntiau ac isafbwyntiau" data-language-autonym="Cymraeg" data-language-local-name="уэльс" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Maksimum_og_minimum" title="Maksimum og minimum — дания" lang="da" hreflang="da" data-title="Maksimum og minimum" data-language-autonym="Dansk" data-language-local-name="дания" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Extremwert" title="Extremwert — алман" lang="de" hreflang="de" data-title="Extremwert" data-language-autonym="Deutsch" data-language-local-name="алман" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Maximum_and_minimum" title="Maximum and minimum — инглиз" lang="en" hreflang="en" data-title="Maximum and minimum" data-language-autonym="English" data-language-local-name="инглиз" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Maksimumo_kaj_minimumo" title="Maksimumo kaj minimumo — эсперанто" lang="eo" hreflang="eo" data-title="Maksimumo kaj minimumo" data-language-autonym="Esperanto" data-language-local-name="эсперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Extremos_de_una_funci%C3%B3n" title="Extremos de una función — испан" lang="es" hreflang="es" data-title="Extremos de una función" data-language-autonym="Español" data-language-local-name="испан" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ekstreemum" title="Ekstreemum — эстон" lang="et" hreflang="et" data-title="Ekstreemum" data-language-autonym="Eesti" data-language-local-name="эстон" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Funtzio_baten_muturrak" title="Funtzio baten muturrak — баск" lang="eu" hreflang="eu" data-title="Funtzio baten muturrak" data-language-autonym="Euskara" data-language-local-name="баск" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%DB%8C%D8%B4%DB%8C%D9%86%D9%87_%D9%88_%DA%A9%D9%85%DB%8C%D9%86%D9%87" title="بیشینه و کمینه — фарсы" lang="fa" hreflang="fa" data-title="بیشینه و کمینه" data-language-autonym="فارسی" data-language-local-name="фарсы" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/%C3%84%C3%A4riarvo" title="Ääriarvo — фин" lang="fi" hreflang="fi" data-title="Ääriarvo" data-language-autonym="Suomi" data-language-local-name="фин" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Extremum" title="Extremum — француз" lang="fr" hreflang="fr" data-title="Extremum" data-language-autonym="Français" data-language-local-name="француз" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Extremos_dunha_funci%C3%B3n" title="Extremos dunha función — галисия" lang="gl" hreflang="gl" data-title="Extremos dunha función" data-language-autonym="Galego" data-language-local-name="галисия" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A0%D7%A7%D7%95%D7%93%D7%AA_%D7%A7%D7%99%D7%A6%D7%95%D7%9F" title="נקודת קיצון — яһүд" lang="he" hreflang="he" data-title="נקודת קיצון" data-language-autonym="עברית" data-language-local-name="яһүд" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%89%E0%A4%9A%E0%A5%8D%E0%A4%9A%E0%A4%BF%E0%A4%B7%E0%A5%8D%E0%A4%A0_%E0%A4%94%E0%A4%B0_%E0%A4%A8%E0%A4%BF%E0%A4%AE%E0%A5%8D%E0%A4%A8%E0%A4%BF%E0%A4%B7%E0%A5%8D%E0%A4%A0" title="उच्चिष्ठ और निम्निष्ठ — һинд" lang="hi" hreflang="hi" data-title="उच्चिष्ठ और निम्निष्ठ" data-language-autonym="हिन्दी" data-language-local-name="һинд" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Sz%C3%A9ls%C5%91%C3%A9rt%C3%A9k" title="Szélsőérték — венгр" lang="hu" hreflang="hu" data-title="Szélsőérték" data-language-autonym="Magyar" data-language-local-name="венгр" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%96%D5%B8%D6%82%D5%B6%D5%AF%D6%81%D5%AB%D5%A1%D5%B5%D5%AB_%D5%A7%D6%84%D5%BD%D5%BF%D6%80%D5%A5%D5%B4%D5%B8%D6%82%D5%B4" title="Ֆունկցիայի էքստրեմում — әрмән" lang="hy" hreflang="hy" data-title="Ֆունկցիայի էքստրեմում" data-language-autonym="Հայերեն" data-language-local-name="әрмән" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Maksimum_dan_minimum" title="Maksimum dan minimum — индонезия" lang="id" hreflang="id" data-title="Maksimum dan minimum" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезия" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/%C3%9Atgildi" title="Útgildi — исланд" lang="is" hreflang="is" data-title="Útgildi" data-language-autonym="Íslenska" data-language-local-name="исланд" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Massimo_e_minimo_di_una_funzione" title="Massimo e minimo di una funzione — итальян" lang="it" hreflang="it" data-title="Massimo e minimo di una funzione" data-language-autonym="Italiano" data-language-local-name="итальян" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%A5%B5%E5%80%A4" title="極値 — япон" lang="ja" hreflang="ja" data-title="極値" data-language-autonym="日本語" data-language-local-name="япон" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" title="Экстремум — казакъ" lang="kk" hreflang="kk" data-title="Экстремум" data-language-autonym="Қазақша" data-language-local-name="казакъ" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%97%E0%B2%B0%E0%B2%BF%E0%B2%B7%E0%B3%8D%E0%B2%A0_%E0%B2%AE%E0%B2%A4%E0%B3%8D%E0%B2%A4%E0%B3%81_%E0%B2%95%E0%B2%A8%E0%B2%BF%E0%B2%B7%E0%B3%8D%E0%B2%A0_%E0%B2%AE%E0%B3%8C%E0%B2%B2%E0%B3%8D%E0%B2%AF%E0%B2%97%E0%B2%B3%E0%B3%81" title="ಗರಿಷ್ಠ ಮತ್ತು ಕನಿಷ್ಠ ಮೌಲ್ಯಗಳು — каннада" lang="kn" hreflang="kn" data-title="ಗರಿಷ್ಠ ಮತ್ತು ಕನಿಷ್ಠ ಮೌಲ್ಯಗಳು" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B7%B9%EA%B0%92" title="극값 — корея" lang="ko" hreflang="ko" data-title="극값" data-language-autonym="한국어" data-language-local-name="корея" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Massim_e_minim_de_%27na_fonzion" title="Massim e minim de &#039;na fonzion — Lombard" lang="lmo" hreflang="lmo" data-title="Massim e minim de &#039;na fonzion" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Maksimums_un_minimums" title="Maksimums un minimums — латыш" lang="lv" hreflang="lv" data-title="Maksimums un minimums" data-language-autonym="Latviešu" data-language-local-name="латыш" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D0%BD%D0%B8_%D0%B2%D1%80%D0%B5%D0%B4%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Екстремни вредности — македон" lang="mk" hreflang="mk" data-title="Екстремни вредности" data-language-autonym="Македонски" data-language-local-name="македон" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Extreme_waarde" title="Extreme waarde — голланд" lang="nl" hreflang="nl" data-title="Extreme waarde" data-language-autonym="Nederlands" data-language-local-name="голланд" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Maksimum_og_minimum" title="Maksimum og minimum — нюнорск" lang="nn" hreflang="nn" data-title="Maksimum og minimum" data-language-autonym="Norsk nynorsk" data-language-local-name="нюнорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Maksimum_og_minimum" title="Maksimum og minimum — норвежский букмол" lang="nb" hreflang="nb" data-title="Maksimum og minimum" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Ekstremum_funkcji" title="Ekstremum funkcji — поляк" lang="pl" hreflang="pl" data-title="Ekstremum funkcji" data-language-autonym="Polski" data-language-local-name="поляк" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Pontos_extremos_de_uma_fun%C3%A7%C3%A3o" title="Pontos extremos de uma função — португал" lang="pt" hreflang="pt" data-title="Pontos extremos de uma função" data-language-autonym="Português" data-language-local-name="португал" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Maxim_%C8%99i_minim" title="Maxim și minim — румын" lang="ro" hreflang="ro" data-title="Maxim și minim" data-language-autonym="Română" data-language-local-name="румын" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" title="Экстремум — рус" lang="ru" hreflang="ru" data-title="Экстремум" data-language-autonym="Русский" data-language-local-name="рус" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Maximum_and_minimum" title="Maximum and minimum — Simple English" lang="en-simple" hreflang="en-simple" data-title="Maximum and minimum" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Extr%C3%A9m_(funkcia)" title="Extrém (funkcia) — словак" lang="sk" hreflang="sk" data-title="Extrém (funkcia)" data-language-autonym="Slovenčina" data-language-local-name="словак" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Ekstrem_funkcije" title="Ekstrem funkcije — словен" lang="sl" hreflang="sl" data-title="Ekstrem funkcije" data-language-autonym="Slovenščina" data-language-local-name="словен" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Zvinyanye" title="Zvinyanye — шона" lang="sn" hreflang="sn" data-title="Zvinyanye" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Extremum" title="Extremum — швед" lang="sv" hreflang="sv" data-title="Extremum" data-language-autonym="Svenska" data-language-local-name="швед" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AF%86%E0%AE%B0%E0%AF%81%E0%AE%AE%E0%AE%AE%E0%AF%8D_%E0%AE%AE%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AF%81%E0%AE%AE%E0%AF%8D_%E0%AE%9A%E0%AE%BF%E0%AE%B1%E0%AF%81%E0%AE%AE%E0%AE%AE%E0%AF%8D" title="பெருமம் மற்றும் சிறுமம் — тамил" lang="ta" hreflang="ta" data-title="பெருமம் மற்றும் சிறுமம்" data-language-autonym="தமிழ்" data-language-local-name="тамил" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Maksima_at_minima" title="Maksima at minima — тагалог" lang="tl" hreflang="tl" data-title="Maksima at minima" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" title="Екстремум — украин" lang="uk" hreflang="uk" data-title="Екстремум" data-language-autonym="Українська" data-language-local-name="украин" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ekstremum" title="Ekstremum — үзбәк" lang="uz" hreflang="uz" data-title="Ekstremum" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="үзбәк" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/C%E1%BB%B1c_tr%E1%BB%8B_c%E1%BB%A7a_h%C3%A0m_s%E1%BB%91" title="Cực trị của hàm số — вьетнам" lang="vi" hreflang="vi" data-title="Cực trị của hàm số" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнам" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%9E%81%E5%80%BC" title="极值 — кытай" lang="zh" hreflang="zh" data-title="极值" data-language-autonym="中文" data-language-local-name="кытай" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Ke%CC%8Dk-ta%CC%8Dt" title="Ke̍k-ta̍t — миньнань" lang="nan" hreflang="nan" data-title="Ke̍k-ta̍t" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="миньнань" 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href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A0%D3%99%D1%81%D0%B5%D0%BC%D0%BD%D3%99%D1%80" title="Википедия:Рәсемнәр">Рәсемнәр</a> өстәргә <br /></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li></ul></div> </td> <td class="widthhack"> </td></tr></tbody></table> <div class="noprint tright portal" style="border:solid var(--border-color-base, #a2a9b1) 1px; margin:0.5em 0 0.5em 1em;"> <table style="background:var(--background-color-neutral-subtle, #f8f9fa); color:inherit; font-size:85%; line-height:110%; max-width:175px;"> <tbody><tr> <td style="text-align: center;"><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Arithmetic_symbols.svg" class="mw-file-description"><img alt="Portal icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/28px-Arithmetic_symbols.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/42px-Arithmetic_symbols.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/56px-Arithmetic_symbols.svg.png 2x" data-file-width="210" data-file-height="210" /></a></span> </td> <td style="padding: 0 0.2em; vertical-align: middle; font-style: italic; font-weight: bold"><a href="/w/index.php?title=%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB:%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0&amp;action=edit&amp;redlink=1" class="new" title="Портал:Алгебра (бит юк)">Алгебра &#32;порталы</a> </td></tr> <tr valign="middle"> <td style="text-align: center;"><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="Portal icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/28px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/42px-Nuvola_apps_edu_mathematics_blue-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/56px-Nuvola_apps_edu_mathematics_blue-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> </td> <td style="padding: 0 0.2em; vertical-align: middle; font-style: italic; font-weight: bold"><a href="/wiki/%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Портал:Математика">Математика &#32;порталы</a> </td></tr> <tr valign="middle"> <td style="text-align: center;"><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Nuvola_apps_kalzium.svg" class="mw-file-description"><img alt="Portal icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/28px-Nuvola_apps_kalzium.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/42px-Nuvola_apps_kalzium.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/56px-Nuvola_apps_kalzium.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> </td> <td style="padding: 0 0.2em; vertical-align: middle; font-style: italic; font-weight: bold"><a href="/wiki/%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB:%D0%A4%D3%99%D0%BD" title="Портал:Фән">Фән &#32;порталы</a> </td></tr> </tbody></table></div> <p><b>Экстремум</b> - бирелгән <a href="/w/index.php?title=%D0%9A%D2%AF%D0%BF%D0%BB%D0%B5%D0%BA&amp;action=edit&amp;redlink=1" class="new" title="Күплек (бит юк)">күплектәге</a> <a href="/w/index.php?title=%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F&amp;action=edit&amp;redlink=1" class="new" title="Функция (бит юк)">функциянең</a> үсүе кимүгә алмашына торган яки кимүе үсүгә алмашына торган <a href="/w/index.php?title=%D0%9D%D0%BE%D0%BA%D1%82%D0%B0&amp;action=edit&amp;redlink=1" class="new" title="Нокта (бит юк)">ноктасы</a>. Бу нокталарны тиңдәшле рәвештә <b>максимум ноктасы</b> һәм <b>минимум ноктасы</b> дип атыйлар. </p> <div class="mw-heading mw-heading2"><h2 id="Билгеләмәләр"><span id=".D0.91.D0.B8.D0.BB.D0.B3.D0.B5.D0.BB.D3.99.D0.BC.D3.99.D0.BB.D3.99.D1.80"></span>Билгеләмәләр</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC&amp;veaction=edit&amp;section=1" title="«Билгеләмәләр» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC&amp;action=edit&amp;section=1" title="Редактировать код раздела «Билгеләмәләр»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Әгәр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span> ноктасының ниндидер <a href="/w/index.php?title=%D0%A2%D0%B8%D1%80%D3%99%D0%BB%D0%B5%D0%BA&amp;action=edit&amp;redlink=1" class="new" title="Тирәлек (бит юк)">тирәлегендәге</a> барлык <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> өчен <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x)&gt;f(x_{0})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>&gt;</mo> <mi>f</mi> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)&gt;f(x_{0})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e79227705103011a87d75a18cc24e21ebe03eeca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.988ex; height:2.843ex;" alt="{\displaystyle f(x)&gt;f(x_{0})}"></span> <a href="/w/index.php?title=%D0%A2%D0%B8%D0%B3%D0%B5%D0%B7%D1%81%D0%B5%D0%B7%D0%BB%D0%B5%D0%BA&amp;action=edit&amp;redlink=1" class="new" title="Тигезсезлек (бит юк)">тигезсезлеге</a> үтәлсә, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span> ноктасы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> функциясенең минимум ноктасы дип атала. </p><p>Әгәр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span> ноктасының ниндидер <a href="/w/index.php?title=%D0%A2%D0%B8%D1%80%D3%99%D0%BB%D0%B5%D0%BA&amp;action=edit&amp;redlink=1" class="new" title="Тирәлек (бит юк)">тирәлегендәге</a> барлык <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> өчен <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x)\leq f(x_{0})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>&#x2264;<!-- ≤ --></mo> <mi>f</mi> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)\leq f(x_{0})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3bf51a88bad21c5c0fa7fe1d7b6d5412aab9b54" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.988ex; height:2.843ex;" alt="{\displaystyle f(x)\leq f(x_{0})}"></span> тигезсезлеге үтәлсә, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span> ноктасы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> функциясенең максимум ноктасы дип атала. </p> <div class="mw-heading mw-heading2"><h2 id="Сылтамалар"><span id=".D0.A1.D1.8B.D0.BB.D1.82.D0.B0.D0.BC.D0.B0.D0.BB.D0.B0.D1.80"></span>Сылтамалар</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC&amp;veaction=edit&amp;section=2" title="«Сылтамалар» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC&amp;action=edit&amp;section=2" title="Редактировать код раздела «Сылтамалар»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://tatar.org.ru/kurs/10-11-algebra/cyr_45.php">A. H. Колмогоров редакциясендә "Алгебра һәм анализ башлангычлары"</a><span style="font-size:85%; margin-left:0.2em; color:var(--color-placeholder, #72777d)">(үле сылтама)</span></li></ul> <p><br /> </p> <table class="metadata plainlinks ambox ambox-content"> <tbody><tr> <td class="ambox-image"><div><span class="mw-default-size" typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:No_iwiki_template.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/48px-No_iwiki_template.svg.png" decoding="async" width="48" height="48" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/72px-No_iwiki_template.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/96px-No_iwiki_template.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div> </td> <td class="ambox-text"><b>Башка телле бүлектә тулырак мәкалә бар: <a href="https://en.wikipedia.org/wiki/Maxima_and_minima" class="extiw" title="en:Maxima and minima">Maxima and minima</a> <span class="ref-info" title="инглиз телендә" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(ингл.)</span></b><div class="ambox-text-small">Сез тәрҗемә ярдәме белән бу мәкаләне язып бетереп проектка ярдәм итә аласыз.</div> </td> <td class="widthhack"> </td></tr></tbody></table> <p><br /> </p> <table class="metadata plainlinks ambox ambox-content"> <tbody><tr> <td class="ambox-image"><div><span class="mw-default-size" typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:No_iwiki_template.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/48px-No_iwiki_template.svg.png" decoding="async" width="48" height="48" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/72px-No_iwiki_template.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/No_iwiki_template.svg/96px-No_iwiki_template.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div> </td> <td class="ambox-text"><b>Башка телле бүлектә тулырак мәкалә бар: <a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC" class="extiw" title="ru:Экстремум">Экстремум</a> <span class="ref-info" title="рус телендә" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(рус.)</span></b><div class="ambox-text-small">Сез тәрҗемә ярдәме белән бу мәкаләне язып бетереп проектка ярдәм итә аласыз.</div> </td> <td class="widthhack"> </td></tr></tbody></table> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐745f94f9f8‐qr62k Cached time: 20241120071018 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.062 seconds Real time usage: 0.161 seconds Preprocessor visited node count: 679/1000000 Post‐expand include size: 13852/2097152 bytes Template argument size: 3369/2097152 bytes Highest expansion depth: 14/100 Expensive parser function count: 7/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 1064/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 81.317 1 -total 61.08% 49.665 3 Калып:Ambox 54.92% 44.658 1 Калып:Rq 27.41% 22.291 16 Калып:Rq/Юл 25.50% 20.735 1 Калып:Портал 18.47% 15.021 3 Калып:Портал/үзәк 18.12% 14.732 1 Калып:Rq/stub 14.21% 11.558 2 Калып:Тәрҗемә 5.64% 4.585 1 Калып:Ref-en 4.60% 3.739 2 Калып:Rq/topics/getcategory --> <!-- Saved in parser cache with key ttwiki:pcache:18568:|#|:idhash:canonical and timestamp 20241120071018 and revision id 3149207. 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