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

Answer 1

h = (4x^2-g)(4x+g)
using the product and chain rules,
h' = (8x-g')(4x+g) + (4x^2-g)(4+g')
Now just plug in your numbers for x,g,g' as given