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

## Resources

Math 3 Course Syllabus
Practice Exams

# Contents

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?

### Outline

Outline for Derivatives of Exponential and Logarithm Functions

### Textbook

Derivatives of Exponential and Logarithm Functions

### Quiz

Derivatives of Exponential and Logarithm Functions Quiz

### Examples

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

### Applets

• Limits of Functions

### Videos

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

Lecture 12 | Index | Lecture 14