Question

What is the derivative of `f(x) = sin^2(x)-cos^2(x)`?

Answer 1

The answer `f'(x)=4*sin(x)*cos(x)`

Explanation:

show below

`f(x)=sin^2(x)-cos^2(x)`

`f'(x)=2*sin(x)*cos(x)-[2*cos(x)*-sin(x)]`

`f'(x)=2*sin(x)*cos(x)+2*sin(x)*cos(x)`

`f'(x)=4*sin(x)*cos(x)`