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    First and second derivatives of the function y=((1-x)/x^2)^3

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    Find the first and second derivatives of the function y=((1-x)/x^2)^3

    © BrainMass Inc. brainmass.com March 4, 2021, 5:38 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/3830

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    Y = [(1-x)/x2]^3

    First derivative (remember d/dx (a^n) = n a^(n-1)
    dy/dx = 3 [(1-x)/x2]2 {d/dx (1-x)/x2}

    We need to calculate d/dx (1-x)/x2, for this, use the quotient rule or the product rule (this is simple)

    Take (1-x) as first function and 1/x2 (= x -2) as ...

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    The solution shows step by step the calculation of the first and second derivative of y=((1-x)/x^2)^3

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