Question

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1).

Answer 1

do you know about the chain rule ?

Answer 2

ya

Answer 3

here is an example of the chain rule
\[ h(x) = \sin(3x) \\ h'(x) = (\sin(3x))' (3x)' \\ h'(x)= \cos(3x) \cdot 3
\]

you have to use the chain rule on
\[ h(x) = g(f(2x)) \]
can you try?