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What is the derivative of x^3*(5x+1)^-(2/3)

 Nov 2, 2015
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What is the derivative of

 

\(f(x)=x^3*(5x+1)^{-(2/3)}\\ \mbox{use product rule and composite function rule.}\\ u=x^3\\ u'=3x^2\\ v=(5x+1)^{-2/3}\\ v'=(-2/3)(5x+1)^{(-5/3)}\times 5\\ f'(x)=uv'+vu'\)

 

 

You should be able to finish it  :))

 Nov 2, 2015

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