Question

How do you differentiate `sin(x^4)`?

Answer 1

`4x^3cos(x^4)`

Explanation:

By the chain rule
`(sin(x^4))'=(x^4)'sin'(x^4)`

`=4x^3sin'(x^4)` by the power rule

And since `sin'(x)=cos(x)`

`(sin(x^4))'=4x^3cos(x^4)`