1. Section 3.5b

2. Recall from a previous math life… Because sine and cosine are differentiable functions of x, the related functions are differentiable at every value of x for which they are defined. Let’s find their derivatives…

3. Derivative of Tangent

4. Derivative of Cotangent

5. Derivative of Secant

6. Derivative of Cosecant

7. Derivatives of the Trigonometric Functions

8. Practice Problems Find if

9. Practice Problems Find if

10. Practice Problems Find if

11. Practice Problems Find the points on the curve,, where the tangent is parallel to the line. Here, we need In the given interval: The points:

12. Practice Problems p.140: #22 (a) Slope at P: Tangent Line:

13. Practice Problems p.140: #22 (b) Let slope = 0: Find the y-coordinate: Point Q: Tangent Line:

14. Practice Problems p.140: #24 (a) Velocity: Speed: Acceleration: Jerk:

15. Practice Problems (b) Velocity: Speed: Acceleration: Jerk: (c) The body starts at 1, goes to, then oscillates between p.140: #24