DERIVATIVES OF INVERSE TRIG.

Unit 5C Day 2

Do Now

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

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

Ex. 1

Find

Ex. 2

Find the following.a)

b)

Ex. 3

Find

Ex. 4

Find an equation of the line tangent to the graph of the function at the given point.

Ex. 5

Find any relative extrema of

f(x) = arctanx – arctan(x – 4).

Ex. 6

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