Question

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

Answer 1

`=2sec^2xtanx+sinx`

Explanation:

The derivative of the difference is the difference of the derivatives.

`d/dx(sec^2x-cosx)`

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

`=2secx xx d/dx(secx)-(-sinx)`

`=2secx xx(secxtanx)+sinx`

`=2sec^2xtanx+sinx`