What is the derivative of $sin^2(x)cos^2(x)$ ?

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Answer 1 · 2016-05-26T15:29:38

$d f(x)/(d x)=2sinx*cos^3x-2cosx*sin^3 x$

$f(x)=sin^2 x*cos^2 x$

$d f(x)/(d x)=(sin^2 x)^'*cos^2x+(cos^2x)^'*sin^2 x$

$d f(x)/(d x)=2 sin x*cos x*cos^2 x-2 cos x*sin x*sin^2 x$

$d f(x)/(d x)=2sinx*cos^3x-2cosx*sin^3 x$

What is the derivative of sin^2(x)cos^2(x)sin^2(x)cos^2(x)?