Question

How do you differentiate `f(x)=sin(6x+5x^2+1)` using the chain rule?

Answer 1

I found: `f'(x)=(10x+6)cos(6x+5x^2+1)`

Explanation:

First you derive `sin` as it is and then multiply by the derivative of its argument:

`f'(x)=color(red)(cos(6x+5x^2+1))*color(blue)((6+10x))=`

`=(10x+6)cos(6x+5x^2+1)`