Question

What is the derivative of `f(x) = 2 tan^(2)x-sec^(2)x`?

Answer 1

`2secx(2secx-tanx)`

Explanation:

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

`4d/dx(tanx)-2d/dx(secx)=4sec^2x-2secxtanx=`

`=2secx(2secx-tanx)`