Question

What is the derivative of `sec^2 x - 1`?

Answer 1

`d/(dx)(sec^2x-1)=2sec^2xtanx`

Explanation:

We can do it two ways.

One – as `d/(dx)secx=secxtanx`

`d/(dx)(sec^2x-1)=2secx xx secxtanx`

= `2sec^2xtanx`

Two – `d/(dx)(sec^2x-1)`

= `d/(dx)tan^2x`

= `2tanx xx sec^2x`

= `2sec^2xtanx`