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Mathematics 15 Online
OpenStudy (anonymous):

compute the derivative y' of y=xsinxcosx

OpenStudy (watchmath):

We can rewrite y as \(y=\frac{1}{2}x\sin(2x)\) Hence \(y'=\frac{1}{2}\sin(2x)+x\cos(2x)\)

OpenStudy (anonymous):

u did the product rule when taking the derivative?

OpenStudy (watchmath):

yes

OpenStudy (anonymous):

when u write xcos2x? can u explain why

OpenStudy (watchmath):

\(y'=\frac{1}{2}\sin(2x)+\frac{1}{2}x\cdot 2\cos(2x)\)

OpenStudy (anonymous):

ok./.... thank u very much

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