differentiating transcendental functions


	differentiating transcendental functions
coburgmaths
9-10-2009 6:52 PM
124 views
coburgmaths says:
curve sketching and other applications of calculus with transcendental functions
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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/ca539f7f-987f-42f5-901d-9159250bb00b/74472463-380A-468C-B385-233D8A2B1784/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php" href="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php" style="font-size: 11px;">www.intmath.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php"><H1>Differentiation of Transcendental Functions</H1></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php"><H3>Differentiating Trigonometric Functions </H3></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php"><H3>Differentiating Logarithmic and Exponential Functions</H3></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.intmath.com/Differentiation-transcendental/Differentiate-transcendental-intro.php"><P>See also the <A href="http://www.intmath.com/Differentiation-transcendental/../Calculus/Calculus-intro.php">Introduction to Calculus</A>, where there is a brief history of calculus. </P></blockquote><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content7.clipmarks.com/images/clip-icon.gif" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://cnx.org/content/m17417/latest/" href="http://cnx.org/content/m17417/latest/" style="font-size: 11px;">cnx.org</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><h1>Minimum and maximum values</h1></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><strong class="title"> Important observations and definitions  </strong></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><p class="para" id="element-117">
<dfn class="term">Problem : </dfn> 
 Find minimum value of modulus function
</p></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><p class="para" id="element-138">
<dfn class="term">Problem : </dfn> 
Find maximum and minimum values of function :
</p></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><th class="figure-name"><strong class="title"> Sign scheme </strong></th></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://cnx.org/content/m17417/latest/"><img src="http://cnx.org/content/m17417/latest/mm7.gif" alt=" Sign scheme  (mm7.gif)" /></blockquote><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content8.clipmarks.com/images/clip-icon.gif" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.mathwords.com/d/derivative_rules.htm" href="http://www.mathwords.com/d/derivative_rules.htm" style="font-size: 11px;">www.mathwords.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><P align="left"><FONT size="+1" face="Times New Roman, Times, serif" color="#000000"><STRONG>Derivative Rules</STRONG></FONT></P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><P>A list of common <A href="http://www.mathwords.com/d/derivative.htm">derivative</A> rules is
            given below.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><div align="center"><img src="http://content9.clipmarks.com/blog_cache/www.mathwords.com/img/A93E16FF-55D3-48A8-A84D-BAF53C6BE336" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><div align="center"><img src="http://content6.clipmarks.com/blog_cache/www.mathwords.com/img/A3D01921-52A6-40E5-AB82-106E4199A3BF" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><div align="center"><img src="http://content7.clipmarks.com/blog_cache/www.mathwords.com/img/5988FEEC-3FA5-4E0B-BE05-0BDB7B4038F4" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><div align="center"><img src="http://content8.clipmarks.com/blog_cache/www.mathwords.com/img/8FC748E8-3B7B-4E17-A793-ABF91425D5F9" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.mathwords.com/d/derivative_rules.htm"><P align="left"><A href="http://www.mathwords.com/d/../p/power_rule.htm">Power rule</A>, <A href="http://www.mathwords.com/d/../p/product_rule.htm">product
                  rule</A>, <A href="http://www.mathwords.com/d/../q/quotient_rule.htm">quotient rule</A>,
                  <A href="http://www.mathwords.com/d/../r/reciprocal_rule.htm">reciprocal rule</A>, <A href="http://www.mathwords.com/d/../c/chain_rule.htm">chain
                  rule</A>, <A href="http://www.mathwords.com/d/../i/implicit_differentiation.htm">implicit
                  differentiation</A>, <A href="http://www.mathwords.com/d/../l/logarithmic_differentiation.htm">logarithmic
              differentiation</A>, <A href="http://www.mathwords.com/d/../i/integral_rules.htm">integral
              rules</A>, <A href="http://www.mathwords.com/d/../s/scalar.htm">scalar</A></P></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/74472463-380A-468C-B385-233D8A2B1784/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>
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