Max. value of f(x)=(a+b*sin(x))(a+b*cos(x))

[kinu]

find maximum value of \(f(x)=(a+b\sin x)(a+b\cos x)\)

where \(a\;,b\in\mathbb{R}\)

[João P. Ferreira]

to find maximuns you just have to derivate the function and equal it to zero...

Solve this equation and you'll find the maximum

\(f'(x)=0\)