Question

What is the derivative of `tan^2x secx`?

Answer 1

`d/(dx)tan^2xsecx=tanxsecx(2+3tan^2x)`

Explanation:

`d/(dx)tan^2xsecx`

= `2tanxsec^2x xxsecx+tan^2x xxsecxtanx`

= `tanxsecx(2sec^2x+tan^2x)`

= `tanxsecx(2(1+tan^2x)+tan^2x)`

= `tanxsecx(2+3tan^2x)`