1. Find the derivative f'(x).

(a) f(x)=xe

^{x}cosx(b) f(x)=secxtanx

(c) f(x)=sinx/1+cosx

2. Let g(x) be a differentiable function such that g(0)=2 and g'(0)=3.

(a) f(x)=(g(x))

^{3}(b) f(x)=g(7x)

3. If h(t)=300+12sin(t/2), find h"(pi/3).

4. Find the derivative f'(x).

(a) f(x)=(4-2x-3x

^{2})^{-5}(b) f(x)=x(square root of 1+x

^{2})(c) f(x)=cos

^{2}(x^{2})5. Find the derivative f'(x).

(a) f(x)=lnx/x

(b) f(x)=arctan(e

^{x})(c) f(x)=x

^{lnx}