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# SurCalCh4Sec3 - x x e e dx d = and x f e e dx d x f x f =...

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Survey Calculus 4.3 Differentiation of Exponential and Logarithmic Functions Derivatives of lnx-- x x dx d 1 ln = . More generally, ) ( ' ) ( 1 ) ( ln x f x f x f dx d = In other words, the derivative of the natural log of something is 1 over that something times the derivative of that something. Examples: 4. 6 Derivatives of exponentials

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Unformatted text preview: x x e e dx d = and ) ( ' ) ( ) ( x f e e dx d x f x f = The derivative of e to a power is: e to the power times the derivative of the power. In the case where the exponent is a constant times x our formula is very simple. kx kx ke e dx d = Examples: 12. 15. 34. 54....
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SurCalCh4Sec3 - x x e e dx d = and x f e e dx d x f x f =...

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