Question

What is the second derivative of `f(x)= sec x`?

Answer 1

`sec^3x+tan^2xsecx`

Explanation:

`d/(dx)(secx)`

`=sextanx`

`d/(dx)(secxtanx)`

`=secxd/(dx)(tanx)+tanxd/(dx)(secx)`

`=secxsec^2x+tanxsecxtanx`

`=sec^3x+tan^2xsecx`