Question

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

Answer 1

`f'(x)=10(5x-4)`

Explanation:

`f(x)=(5x-4)^2`

Chain Rule: `f'(x)=f(g(x))g'(x)`
here `f(x)=x^2` and `g(x)=5x-4`

`f'(x)=2(5x-4)^(2-1)(5-0)`
`f'(x)=10(5x-4)`