2.12 Derivatives of Exponential and Logarithm Functions

By the end of your studying, you should know:
Onscreen 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.
ExamplesLet y = ln(x^{2} + y^{2}). Find y'.Show that there is a point at which the derivative of the function p(x) = e^{x} – 3x is equal to zero. AppletsLimits of Functions
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 2.12 Derivatives of Exponential and Logarithm Functions (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Derivatives of Exponentials and Logs

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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