Question

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

Answer 1

`8xcos(4x^2 )`

Explanation:

using the chain rule gives :

`f'(x) = cos(4x^2). d/dx (4x^2 ) = cos(4x^2)(8x )`

`rArr f'(x) = 8xcos(4x^2 )`