Question

Use the following table to find the value of h'(3) if h(x)=g[f(x)]

Answer 1

Since

h(x) = g(f(x)), h'(x) = g'(f(x))×f'(x) (Chain rule).

Setting x=3 we get

h'(3) = g'(f(3))×f'(3)

Plugging in values we get

h'(3) = g'(4)×7

h'(3) = 2×7

h'(3) = 14