1. (3 points each) For each of the following functions and value ro, evaluate the derivative of the inverse at f(To) = yo. Do not attempt to compute the inverse function! (a) f(x) = In(5x + e); x0 = 0 (b) g(x) = tan x; to = (c) h(x) = ex - 1; x0 = 1 2. (2 points each) Evaluate the following inverse trigonometric functions at the specified values or state that the value does not exist. (a) sin -1 (- ) (b) tan-1(V3) (c) cos-1(v2) 3. (6 points) Let g(x) = xsin '(4) + v16 -x2. Show that g'(2) = ~. (This will involve some simplification.)