1. Find y' for each of the following. Algebraic simplification is not needed. a) y = sec?(ex) + e-2x b) y = In(x2 + Inx) C ) y = sin-1(x3) - tan-1(x3) d) y = et . 102t dt x2 e ) (3x - 5)10 (2x + 3)-3 y= tan2 x 2. Let f (x) = ex + tan 1x + 1- 1. a ) Show that f (x) is one-to-one, hence has an inverse, f-1(x). b) Find (f-1)'(It)