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<!DOCTYPE html><html><head><title>Calculus: Single Variable - Brian E. Blank, Steven George Krantz - Google Books</title><link rel="stylesheet" href="/books/css/_ff77d0f0508c7e0bad470e7d6b7f28fa/kl_about_this_book_kennedy_full_bundle.css" type="text/css" /><link rel="stylesheet"href="https://fonts.googleapis.com/css2?family=Product+Sans:wght@400"><script src="/books/javascript/atb_ff77d0f0508c7e0bad470e7d6b7f28fa__en.js"></script><link rel="canonical" href="https://books.google.com/books/about/Calculus.html?id=hMY8lbX87Y8C"/><meta property="og:url" content="https://books.google.com/books/about/Calculus.html?id=hMY8lbX87Y8C"/><meta name="title" content="Calculus"/><meta name="description" content="Calculus is one of the milestones of human thought. Every well-educated person should be acquainted with the basic ideas of the subject. In today's technological world in which more and more ideas are being quantified, knowledge of calculus has become essential to a broader cross-section of the population. This Debut Edition of Calculus by Brian E. Blank and Steven G. Krantz is published in two volumes, Single Variable and Multivariable. 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Blank</span></a>, <a href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Steven+George+Krantz%22" class="secondary"><span dir=ltr>Steven George Krantz</span></a></div><div><span dir=ltr>Springer Science & Business Media</span>, 2006 - <a class="secondary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics%22&source=gbs_ge_summary_r&cad=0"><span dir=ltr>Mathematics</span></a> - <span dir=ltr>771 pages</span></div></div><div id=synopsis><div id=synopsis-window><div id=synopsistext dir=ltr class="sa">Calculus is one of the milestones of human thought. Every well-educated person should be acquainted with the basic ideas of the subject. In today's technological world in which more and more ideas are being quantified, knowledge of calculus has become essential to a broader cross-section of the population. This Debut Edition of Calculus by Brian E. Blank and Steven G. Krantz is published in two volumes, Single Variable and Multivariable. Teaching and writing from the traditional point of view, these authors have distilled the lessons of reform and bring you a calculus book focusing on today's best practices in calculus teaching.</div></div></div><div class="search_box_wrapper"><form action=/books id=search_form style="margin:0px;padding:0px;" method=get> <input type=hidden name="redir_esc" value="y"><input type=hidden name="id" value="hMY8lbX87Y8C"><table cellpadding=0 cellspacing=0 class="swv-table"><tr><td class="swv-td-search"><span><input id=search_form_input type=text maxlength=1024 class="text_flat swv-input-search" aria-label="Search in this book" name=q value="" title="Search inside" accesskey=i></span></td><td class="swv-td-space"><div> </div></td><td><input type=submit value="Search inside"></td></tr></table><script type="text/javascript">if (window['_OC_autoDir']) {_OC_autoDir('search_form_input');}</script></form><div id="preview-link"><a 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href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&pg=PR5&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=hMY8lbX87Y8C&pg=PR5&img=1&zoom=1&sig=ACfU3U0Xhaz988MlbE5IBwf2PxH6NgnjlQ" alt="Table of Contents" title="Table of Contents" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&pg=PR5&source=gbs_selected_pages&cad=1" >Table of Contents</a></div><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&pg=PA759&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=hMY8lbX87Y8C&pg=PA759&img=1&zoom=1&sig=ACfU3U3rPUcYelPh5_7vvaZq9KUquKPOeA" alt="Index" title="Index" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&pg=PA759&source=gbs_selected_pages&cad=1" >Index</a></div><div style="clear:both;"></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="toc_anchor"></a>Contents</h3><div id=toc class=about_content><div id=toc_v><div class="first_toc_column"><div class="first_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Basics </span></span></div></td><td class="toc_number" align=right>1</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Limits </span></span></div></td><td class="toc_number" align=right>75</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>The Derivative </span></span></div></td><td class="toc_number" align=right>151</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Applications of the Derivative </span></span></div></td><td class="toc_number" align=right>249</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>The Integral </span></span></div></td><td class="toc_number" align=right>347</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Differential Equations </span></span></div></td><td class="toc_number" align=right>419</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Techniques of Integration </span></span></div></td><td class="toc_number" align=right>509</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><div class="second_toc_column"><div class="second_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Applications of the Integral </span></span></div></td><td class="toc_number" align=right>561</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Infinite Series </span></span></div></td><td class="toc_number" align=right>621</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Taylor Series </span></span></div></td><td class="toc_number" align=right>663</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Appendix Answers to Selected Exercises </span></span></div></td><td class="toc_number" align=right>711</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&pg=PA759&source=gbs_toc_r&cad=2" ><span title="Index " style="white-space:nowrap"><span dir=ltr>Index </span></span></a></div></td><td class="toc_number" align=right>759</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&printsec=copyright" ><span title="Copyright" style="white-space:nowrap"><span dir=ltr>Copyright</span></span></a></div></td><td class="toc_number" align=right></td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><br style="clear:both;"/></div><div style="clear:left; height:1em"></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="word_cloud_anchor"></a>Common terms and phrases</h3><div id=word_cloud class=about_content><div id=word_cloud_v><style type="text/css">.cloud9 {color: #7777cc;font-size: 10px;}.cloud8 {color: #6963CC;font-size: 10.5px;}.cloud7 {color: #6057CC;font-size: 11px;}.cloud6 {color: #574BCC;font-size: 11.5px;}.cloud5 {color: #4E3DCC;font-size: 12px;}.cloud4 {color: #4632CC;font-size: 14px;}.cloud3 {color: #3D26CC;font-size: 16px;}.cloud2 {color: #341ACC;font-size: 18px;}.cloud1 {color: #2B0DCC;font-size: 20px;}.cloud0 {color: #2200CC;font-size: 22px;}.cloud {margin-top: 4px;line-height: 24px;}.cloud a {margin-right: 6px;text-decoration: none;}.cloud a:hover {text-decoration: underline;}</style><div class=cloud><a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=algebraic&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>algebraic</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=antiderivative&source=gbs_word_cloud_r&cad=3" class="cloud1"><span dir=ltr>antiderivative</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=approximation&source=gbs_word_cloud_r&cad=3" class="cloud5"><span dir=ltr>approximation</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=calculate&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>calculate</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Calculator/Computer+Exercises&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Calculator/Computer Exercises</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Chain+Rule&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>Chain Rule</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=compute&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>compute</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=concave&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>concave</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=continuous+function&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>continuous function</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=cos(x&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>cos(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=curve&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>curve</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=decimal+places&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>decimal places</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=decreasing&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>decreasing</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=defined&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>defined</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=definition&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>definition</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=denote&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>denote</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=derivative&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>derivative</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=determine&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>determine</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=differential+equation&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>differential equation</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=diverges&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>diverges</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=endpoints&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>endpoints</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=evaluate&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>evaluate</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Example&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>Example</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=exp(x&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>exp(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=expression&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>expression</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=f+f(x)dx&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>f f(x)dx</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Figure&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>Figure</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=formula&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>formula</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=function+f&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>function f</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Further+Theory&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Further Theory</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=given&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>given</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=graph+of+f&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>graph of f</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=improper+integral&source=gbs_word_cloud_r&cad=3" class="cloud2"><span dir=ltr>improper integral</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=increasing&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>increasing</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=inequality&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>inequality</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=infinite+series&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>infinite series</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=inSIGHT&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>inSIGHT</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=integrand&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>integrand</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=inverse&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>inverse</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=l%27H%C3%B4pital%27s+Rule&source=gbs_word_cloud_r&cad=3" class="cloud2"><span dir=ltr>l'Hôpital's Rule</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Let+f&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Let f</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Let+f(x&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Let f(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=limit&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>limit</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=limx&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>limx</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=ln(x&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>ln(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=maximum&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>maximum</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Mean+Value+Theorem&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>Mean Value Theorem</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=minimum&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>minimum</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=natural+logarithm&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>natural logarithm</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Newton-Raphson+Method&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>Newton-Raphson Method</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=nonnegative&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>nonnegative</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=obtain&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>obtain</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=open+interval&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>open interval</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=partial+fractions&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>partial fractions</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=partial+sums&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>partial sums</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=plot&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>plot</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=points+of+inflection&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>points of inflection</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=positive+constant&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>positive constant</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=power+series&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>power series</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Practice+In+Exercises&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>Practice In Exercises</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Problems+for+Practice&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Problems for Practice</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=quickquiz&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>quickquiz</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=quotient&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>quotient</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=radius&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>radius</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=radius+of+convergence&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>radius of convergence</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=rate+of+change&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>rate of change</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=real+number&source=gbs_word_cloud_r&cad=3" class="cloud5"><span dir=ltr>real number</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=rectangle&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>rectangle</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Riemann+sum&source=gbs_word_cloud_r&cad=3" class="cloud2"><span dir=ltr>Riemann sum</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=sec(x&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>sec(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Section&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>Section</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=sequence&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>sequence</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Show&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>Show</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Simpson%27s+Rule&source=gbs_word_cloud_r&cad=3" class="cloud2"><span dir=ltr>Simpson's Rule</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=sin(x&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>sin(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=slope&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>slope</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Solution&source=gbs_word_cloud_r&cad=3" class="cloud4"><span dir=ltr>Solution</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=subintervals&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>subintervals</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=substitution&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>substitution</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Suppose&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>Suppose</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=tan(x&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>tan(x</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=tangent+line&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>tangent line</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Taylor+polynomial&source=gbs_word_cloud_r&cad=3" class="cloud3"><span dir=ltr>Taylor polynomial</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Test&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Test</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=Value+Theorem&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>Value Theorem</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=variable&source=gbs_word_cloud_r&cad=3" class="cloud7"><span dir=ltr>variable</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=velocity&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>velocity</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=vertical+asymptote&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>vertical asymptote</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=viewing+window&source=gbs_word_cloud_r&cad=3" class="cloud9"><span dir=ltr>viewing window</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=x-axis&source=gbs_word_cloud_r&cad=3" class="cloud6"><span dir=ltr>x-axis</span></a> <a href="https://books.google.com.sg/books?id=hMY8lbX87Y8C&q=x%E2%82%81&source=gbs_word_cloud_r&cad=3" class="cloud8"><span dir=ltr>x₁</span></a></div></div></div></div><div class=vertical_module_list_row><h3 class="about_title">Bibliographic information</h3><div class="about_content" id="metadata_content" style="padding-bottom:.3em"><div class="metadata_sectionwrap"><table id="metadata_content_table"><tr class="metadata_row"><td class="metadata_label">Title</td><td class="metadata_value"><span dir=ltr>Calculus: Single Variable, Volume 1</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Authors</span></td><td class="metadata_value"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Brian+E.+Blank%22&source=gbs_metadata_r&cad=4"><span dir=ltr>Brian E. Blank</span></a>, <a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Steven+George+Krantz%22&source=gbs_metadata_r&cad=4"><span dir=ltr>Steven George Krantz</span></a></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Edition</span></td><td class="metadata_value"><span dir=ltr>illustrated</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Publisher</span></td><td class="metadata_value"><span dir=ltr>Springer Science & Business Media, 2006</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>ISBN</span></td><td class="metadata_value"><span dir=ltr>1931914591, 9781931914598</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Length</span></td><td class="metadata_value"><span dir=ltr>771 pages</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Subjects</span></td><td class="metadata_value"><div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics%22" itemprop="url" dir=ltr><span itemprop="title">Mathematics</span></a></div> › <div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+Algebra%22" itemprop="url" dir=ltr><span itemprop="title">Algebra</span></a></div> › <div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+Algebra+General%22" itemprop="url" dir=ltr><span itemprop="title">General</span></a></div><br><br><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+Algebra+/+General%22&source=gbs_metadata_r&cad=4"><span dir=ltr>Mathematics / Algebra / General</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+Calculus%22&source=gbs_metadata_r&cad=4"><span dir=ltr>Mathematics / Calculus</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+General%22&source=gbs_metadata_r&cad=4"><span dir=ltr>Mathematics / General</span></a></td></tr><tr class="metadata_row"><td>&nbsp</td><td>&nbsp</td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Export Citation</span></td><td class="metadata_value"><a class="gb-button " href="https://books.google.com.sg/books/download/Calculus.bibtex?id=hMY8lbX87Y8C&output=bibtex"><span dir=ltr>BiBTeX</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Calculus.enw?id=hMY8lbX87Y8C&output=enw"><span dir=ltr>EndNote</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Calculus.ris?id=hMY8lbX87Y8C&output=ris"><span dir=ltr>RefMan</span></a></td></tr></table></div><div style="clear:both"></div></div></div><script>_OC_addFlags({Host:"https://books.google.com.sg/", IsZipitFolderCollectionEnabled:1, IsBooksUnifiedLeftNavEnabled:1, IsBooksRentalEnabled:1, IsBrowsingHistoryEnabled:1});_OC_Run({"is_cobrand":false,"sign_in_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fid%3DhMY8lbX87Y8C%26redir_esc%3Dy%26hl%3Den\u0026hl=en"}, {"volume_id":"hMY8lbX87Y8C","is_ebook":false,"volumeresult":{"has_flowing_text":false,"has_scanned_text":true,"can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false},"sample_url":"https://play.google.com/books/reader?id=hMY8lbX87Y8C\u0026source=gbs_atb_hover","is_browsable":true,"is_public_domain":false}, {});</script><div id="footer_table" style="font-size:83%;text-align:center;position:relative;top:20px;height:4.5em;margin-top:2em"><div style="margin-bottom:8px"><a href="/intl/en/googlebooks/about.html"><nobr><nobr>About Google Books</nobr></nobr></a> - <a href="/intl/en/googlebooks/privacy.html"><nobr><nobr>Privacy Policy</nobr></nobr></a> - <a href="/intl/en/googlebooks/tos.html"><nobr><nobr>Terms of Service</nobr></nobr></a> - <a href="http://books.google.com.sg/support/partner/?hl=en-SG"><nobr><nobr>Information for Publishers</nobr></nobr></a> - <a href="http://books.google.com.sg/support/answer/180577?hl=en-SG&url=https://books.google.com.sg/books?id=hMY8lbX87Y8C&redir_esc=y&hl=en&v=hMY8lbX87Y8C&is=atb"><nobr><nobr>Report an issue</nobr></nobr></a> - <a href="http://books.google.com.sg/support/topic/4359341?hl=en-SG"><nobr><nobr>Help</nobr></nobr></a> - <a href="https://www.google.com.sg/"><nobr><nobr>Google Home</nobr></nobr></a></div></div></div></div></div><script>(function() {var href = window.location.href;if (href.indexOf('?') !== -1) {var parameters = href.split('?')[1].split('&');for (var i = 0; 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