Question

How do you differentiate `f(x) = tan(sinx)`?

Answer 1

`d/dx(tan(sin(x))) = cosxsec^2(sinx)`

Explanation:

Use the chain rule:

`d/dx(tan(sin(x))) = sec^2(sinx) *d/dx(sinx)`

`= sec^2(sinx) *(cosx)`

`= = cosxsec^2(sinx)`