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

1 Answer

May 26, 2016

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

Explanation:

#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#

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