Question

How do you find the derivative of `tan^2x`?

Answer 1

I found: `y'=2tan(x)/cos^2(x)`

Explanation:

You can use the Chain Rule to deal first with the `()^2` and then with `tan`. Remember that the derivatve of `tan(x)` is `1/cos^2(x)`.
So you get:
`y'=color(red)(2*tan(x))*color(blue)(1/cos^2(x))=2tan(x)/cos^2(x)`