Question

How do you take the derivative of `tan^2(3x)`?

Answer 1

`d/dxtan^2 3x=6tan3xsec^2 3x`

Explanation:

To find the derivative, we use the chain rule for functions

`d/dx[f(x)]^n=n[f(x)]^(n-1)f'(x)`

So

`d/dxtan^2 3x=2tan3x(3sec^2 3x)=6tanxsec^2 3x`