What is the derivative of $f (x) = sin x (sin x + cos x)$ $f(x)=sinx(sinx+cosx)$ ?

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Answer 1 · 2015-10-28T06:51:28

$f'(x)=cosx(sin x+cos x)(cos x - sin x)$

Derivative of the outside

$f'(x)=cosx(sin x+cos x) ...$

Multiplied by the Derivative of the inside

$f'(x)=cosx(sin x+cos x)(cos x - sin x)$

What is the derivative of f(x)=sinx(sinx+cosx)f(x)=sinx(sinx+cosx) f(x)=sinx(sinx+cosx)?