Question

What is the derivative of `tan^2 y`?

Answer 1

`f'(y)=2sec^2(y)tan(y)`

Explanation:

Use the chain rule to differentiate.

`f(y)=tan^2(y)`

Take the derivative of the outermost term, `tan^2`, and multiply by the next inner term, `tan`, then finally by the innermost term, `y` (where the derivative of `y` is simply `1`).

`f'(y)=2tan(y)(sec^2(y))`