Question

How do you differentiate `f(x) = 5(x^2-4 )^(2)` using the chain rule?

Answer 1

`f'(x)=20x(x^2-4)`

Explanation:

`f(x)=5(x^2-4)^2`
`f'(x)=5*2(x^2-4)*2x`
`f'(x)=20x(x^2-4)`

The chain rule is given by:

`F(x)=f(g(x))`
`F'(x)=f'(g(x))timesg'(x)`