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MIT 18.01 Single Variable Calculus (OCW)
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OpenStudy (anonymous):
If f(5)=3 and f'(5)=-2, find the derivative of x^2 f(x) at x=5.
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OpenStudy (anonymous):
(x^2f(x))'=2xf(x)+x^2 f'(x) x=5 so = 2.5.f(5)+5^2 . f'(5)= 30-50=-20
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