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F(x)= 6x^(-8/3)-x^(-2/3) find the derivative

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F(x)= 6x^(-8/3)-x^(-2/3) find the derivative

derivative-of-a-function

asked Nov 30, 2013 in CALCULUS by johnkelly Apprentice

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d/dx x^n = nx^n-1

d/dx(f(x)) = d/dx[6x^(-8/3)-x^(-2/3)]

= 6(-8/3x^-8/3-1)+2/3x^-2/3-1

= -16x^-11/3+2/3x^-5/3

answered Nov 30, 2013 by william Mentor

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