Calculus on Demand at Dartmouth College Lecture 12 | Index | Lecture 14
Lecture 13


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In this lecture we develop formulas for the derivatives of exponential and logarithmic functions.


Quick Question

What is the slope of the graph of the function ex at x = 0?


Answer

Outline

Outline for Derivatives of Exponential and Logarithm Functions

Textbook

Derivatives of Exponential and Logarithm Functions

Today's Homework

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Quiz

Derivatives of Exponential and Logarithm Functions Quiz

Examples

  • Click to see the exampleLet y = ln(x2 + y2). Find y'.
  • Click to see the exampleLet y = ln(1/ex + x/ex). Find y'.
  • Click to see the exampleShow that there is a point at which the derivative of the function p(x) = ex − 3x is equal to zero.

Applets

  • Click to see the appletLimits of Functions

Videos

  • click to see the videoUse chain rule and d/dx (ex) = ex to solve problems
  • click to see the videoFind derivative of y = x2·e3x
  • click to see the videoWhy can't I use power rule on ex?
  • click to see the videoFind derivative of y = ln(x7 + 3x + 2) if x>0
  • click to see the videoCompute the derivative of ex^2/tan(x)

Lecture 12 | Index | Lecture 14