Question

How do you differentiate `f(x)=sec(4x)`?

Answer 1

`f'(x)=4sec(4x)tan(4x)`

Explanation:

`"differentiate using the "color(blue)"chain rule"`

`"given "f(x)=g(h(x))" then"`

`f'(x)=g'(h(x))xxh'(x)larr"chain rule"`

`f(x)=sec(4x)`

`rArrf'(x)=sec(4x)tan(4x)xxd/dx(4x)`

`color(white)(rArrf'(x))=4sec(4x)tan(4x)`