Derivatives of Exponential and Logarithmic Functions - Revision history

Lila: /* Resources */

2021-10-28T15:41:10Z

Resources

Lila: /* Logarithm Function */

2021-10-05T15:54:07Z

Logarithm Function

Lila: /* Logarithmic Differentiation */

2021-09-30T20:39:01Z

Logarithmic Differentiation

Lila: /* Logarithm Function */

2021-09-30T20:37:14Z

Logarithm Function

Lila at 20:36, 30 September 2021

2021-09-30T20:36:28Z

Show changes

James.kercheville: Added links for PowerPoint and worksheet

2020-08-14T20:28:39Z

Added links for PowerPoint and worksheet

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* [https://mathresearch.utsa.edu/wikiFiles/MAT1214/The%20Derivative%20of%20the%20Exponential%20Function/MAT1214-3.9TheDerivativeOfTheExponentialFunctionPwPt.pptx Derivatives of the Exponential and Logarithmic Functions] PowerPoint file created by Dr. Sara Shirinkam, UTSA.

* [https://mathresearch.utsa.edu/wikiFiles/MAT1214/The%20Derivative%20of%20the%20Exponential%20Function/MAT1214-3.9TheDerivativesOfExpAndLogFunctionsWS1.pdf Derivatives of the Exponential and Logarithmic Functions Worksheet]

← Older revision		Revision as of 15:41, 28 October 2021
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	* [https://mathresearch.utsa.edu/wikiFiles/MAT1214/The%20Derivative%20of%20the%20Exponential%20Function/MAT1214-3.9TheDerivativesOfExpAndLogFunctionsWS1.pdf Derivatives of the Exponential and Logarithmic Functions Worksheet]		* [https://mathresearch.utsa.edu/wikiFiles/MAT1214/The%20Derivative%20of%20the%20Exponential%20Function/MAT1214-3.9TheDerivativesOfExpAndLogFunctionsWS1.pdf Derivatives of the Exponential and Logarithmic Functions Worksheet]
		+
		+	==Licensing==
		+	Content obtained and/or adapted from:
		+	* [https://en.wikibooks.org/wiki/Calculus/Derivatives_of_Exponential_and_Logarithm_Functions Derivatives of Exponential and Logarithm Functions, Wikibooks: Calculus] under a CC BY-SA license

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 ==Logarithm Function==
-We shall first look at the irrational number <math>e</math> in order to show its special properties when used with derivatives of exponential and logarithm functions. As mentioned before in [[Calculus/Algebra| the Algebra section]], the value of <math>e</math> is approximately <math>e\approx2.718282</math> but it may also be calculated as the [[Calculus/Infinite_Limits|Infinite Limit]]:
+We shall first look at the irrational number <math>e</math> in order to show its special properties when used with derivatives of exponential and logarithm functions. The value of <math>e</math> is approximately <math>e\approx2.718282</math> but it may also be calculated with the following infinite limit:
 <math>e=\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^n</math>

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 |-
 |style="background-color: #FFFFFF; border: solid 1px #D6D6FF; padding: 1em;" valign="top"|
-{{col-begin}}
 <math>\log(a)+\log(b)=\log(ab)</math>
-{{col-break}}
 <math>\log\left(\frac{a}{b}\right)=\log(a)-\log(b)</math>
-{{col-break}}
 <math>\log(a^n)=n\log(a)</math>
-{{col-break}}
 |}
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 \end{align}</math>
 |}
 ==Resources==

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 |}
-An alternative approach to derivative of the logarithm refers to the original expression of the logarithm as quadrature of the hyperbola ''y'' = 1/''x'' . This approach is described in an extension of precalculus in § {{Calculus/map page|Hyperbolic logarithm and angles}}.
+An alternative approach to derivative of the logarithm refers to the original expression of the logarithm as quadrature of the hyperbola ''y'' = 1/''x'' .
 ==Exponential Function==