Calculus on Demand at Dartmouth College Lecture 10 | Index | Lecture 12 Lecture 11

## Resources

Math 3 Course Syllabus
Practice Exams

# Contents

In this lecture we continue our search for differentiation formulas by computing the derivatives of the standard trig functions.

### Quick Question

What are the three functions whose graphs are shown?

### Outline

Outline for Derivatives of Trigonometric Functions

### Textbook

Derivatives of Trigonometric Functions

### Quiz

Derivatives of Trigonometric Functions Quiz

### Examples

• Consider a circle with a central angle θ, a chord d, arc s, and radius r. Find the limit of s/d as θ approaches 0.
• A pilot flying at 3 miles above the ground at 600 miles per hour sights the airport with a spotting scope. How fast must she turn the scope when the angle between the path and plane is 40o to keep the scope pointed at the airport?
• A block at the end of a spring is stretched past its rest position and released. Its position at time t is given by the formula d(t) = 4cos(t). Find the velocity of the spring at time t. When does the block move fastest?

### Applets

• Limit of sin(x)/x as x approaches 0

### Videos

• Find derivative of cos(x2)
• Compute the derivative of x2·sin(√x)

Lecture 10 | Index | Lecture 12