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).