Question

What is the derivative of `sec^2(x)*tan^2(x)`?

Answer 1

`2tan x sec^4 x +2sec^2 x tan^3 x`

Explanation:

Using product rule, the derivative would be

`sec^2 x d/dx (tan^2 x) +tan^2 x d/dx (sec^2 x)`

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

=`2tan x sec^4 x +2sec^2 x tan^3 x`