Question

Question #f2bce

Answer 1

`f'(x)=e^xsec^2(e^x)`

Explanation:

As it is a function of a function it can be done using the chain rule. So first differentiate the function outside the brackets then multiply by the derivative of the function inside the brackets like so:

`f(x) = tan(e^x)`

`f'(x) = sec^2(e^x)*d/dxe^x=e^xsec^2(e^x)`