1. 3.8: Derivatives of inverse trig functions
Objective: Students will be able to…
Find the derivative of inverse functions and inverse trig functions

2. Is sec x one to one?

3. Proof:
y= sec (x) Write inverse: Differentiate:

4. If u is a differentiable function, then,

5. Examples: find the derivative

6. Derivative of the other three
Inverse Function—Inverse Cofunction Identities

7. Therefore,

8. Examples:

9. Find an equation for the tangent line to the graph y=cot-1x at x = 1.

10. Calculator conversion identities