2.12 Derivatives of Exponential and Logarithm Functions
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.
ExamplesLet y = ln(x2 + y2). Find y'.
AppletsLimits of Functions
VideosSee short videos of worked problems for this section.
ExercisesSee 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 Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Derivatives of Exponentials and Logs
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel