Question

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

Answer 1

here is how,

Explanation:

`d/(dx)(f(x))`

`=d/(dx)(tan(e^(x^2)))`

`=sec^2(e^(x^2))d/(dx)(e^(x^2))`

`=e^(x^2)sec^2(e^(x^2))d/(dx)(x^2)`

`=2xe^(x^2)sec^2(e^(x^2))`