1. Unit 5C Day 2

2. Do Now  Let y = arccosu. Then u = ______.  Use this to derive dy / dx [arccosu].

3. Thm. 5.16: Derivatives of Inverse Trig. Functions  Let u be a differentiable function of x.

4. Ex. 1  Find

5. Ex. 2  Find the following. a) b)

6. Ex. 3  Find

7. Ex. 4  Find an equation of the line tangent to the graph of the function at the given point.

8. Ex. 5  Find any relative extrema of f(x) = arctanx – arctan(x – 4).

9. Ex. 6  Find an equation of the tangent line to the graph of arctan(xy) = arcsin(x + y) at (0, 0).