# How do you compute the derivative for f(x)=sin^2(7x+5)+cos^2(7x+5)?

The answer is $0$.
${\left[\sin f \left(x\right)\right]}^{2} + {\left[\cos f \left(x\right)\right]}^{2} = 1$
So the function is: $y = 1$, whose derivative is $0$.