How do you use the product rule to find the derivative of y=x√⋅cos(x)y=sqrt(x)*cos(x) ?

asked Jun 18, 2015 49.4k views

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$y=\sqrt x\cos x\\ y'=(\sqrt x)'\cos x+\sqrt x (\cos x)'\\ y'=(1)/(2\sqrt x)\cos x+\sqrt x\cdot(-\sin x)\\ y'=(1)/(2\sqrt x)\cos x-\sqrt x\sin x\\$

Rdavisau answered Jun 23, 2015

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