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Marnett31 Marnett31
  • 26-08-2014
  • Mathematics
Answered

How do you use the product rule to find the derivative of y=x2â‹…sin(x)y=x^2*sin(x) ?

Verified Answer :

konrad509
konrad509 konrad509
  • 26-08-2014

\((f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)\\\\ y=x^2\sin x\\ y'=2x\cdot \sin x+x^2\cdot \cos x\\ y'=x(2 \sin x+x\cos x)\)

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