1. Derivatives of Trigonometric Functions
Chapter 3
Derivatives
Section 3.5
Derivatives of Trigonometric Functions

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
Derivatives of the sine and cosine functions
Modeling harmonic motion
Jerk as the derivative of acceleration
Derivatives of the tangent, cotangent, secant, and cosecant functions
Tangent and normal lines
… and why
The derivatives of sines and cosines play a key role in
describing periodic change.

7. Derivative of the Sine Function

8. Derivative of the Cosine Function

9. Example Finding the Derivative of the Sine and Cosine Functions

10. Simple Harmonic Motion
The motion of a weight bobbing up and down on the end of a string is an example of simple harmonic motion.

11. Example Simple Harmonic Motion

12. Jerk

13. Derivative of the Other Basic Trigonometric Functions

14. Example Derivative of the Other Basic Trigonometric Functions

15. Example Derivative of the Other Basic Trigonometric Functions