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find the derivative of

0 votes

find the derivative of x^3lnx

calculus
derivatives
product-rule

asked Dec 9, 2017 in CALCULUS by anonymous

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1 Answer

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f(x) = x^3lnx

Product rule.

(uv)' = uv'+vu'

f'(x) = (x^3)*(1/x)+lnx*(3x^2)

=x^2+3x^2lnx

=x^2(1+3lnx)

answered Dec 9, 2017 by johnkelly Apprentice
reshown Dec 9, 2017 by bradely

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