Question

How do you differentiate `f(x) = (1-3sqrt(2x^2-1))^2` using the chain rule?

Answer 1

`f'(x)=(-12x(1-3sqrt(2x^2-1)))/sqrt(2x^2-1)`

Explanation:

`f(x)=(1-3sqrt(2x^2-1))^2`

`f'(x)=2(1-3sqrt(2x^2-1)) (-3)/(2sqrt(2x^2-1)) *4x`

`f'(x)=(-12x(1-3sqrt(2x^2-1)))/sqrt(2x^2-1)`