2.12 Derivatives of Exponential and Logarithm Functions



The derivatives of the exponential and logarithm functions are computed.

By the end of your studying, you should know:

On-screen applet instructions: For any x, the red dot represents the difference quotient for the natural log at x for a given h. Use the slider to let h → 0.


Let y = ln(x2 + y2). Find y'.


Find y'.

Show that there is a point at which the derivative of the function p(x) = ex – 3x is equal to zero.


Limits of Functions


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See Exercises for 2.12 Derivatives of Exponential and Logarithm Functions (PDF).

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2.11 Implicit Differentiation Table of Contents 2.13 Newton?s Method

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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel