find h'(0) if h(x)=[4x^2-5g(x)][g(x)+4x] where g(0)=5 and g'(0)=3

Answer 1

Use the product rule: if h(x)=f(x)g(x), then h'(x) = f(x)g'(x) + f'(x)g(x).

This will be messy but not difficult. Then plug in the values given.