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What is the derivative of (x^2+4x+5)/(x^3-2x)?

  • Math -

    quotient rule !

    dy/dx = ( (x^3 - 2x)(2x + 4) - (x^2 + 4x + 5)(3x^2 - 2) )/(x^3 - 2x)^2
    = etc

  • Math -

    I know you use quotient rule. Is the answer (-x^4-8x^3-17x^2+8x+10)/(x^3-2x)^2

    Thanks Reiny!

  • Math -

    If you are taking Calculus, surely you should have no difficulty expanding and simplifying
    (x^3 - 2x)(2x + 4) - (x^2 + 4x + 5)(3x^2 - 2)

    I will leave that up to you to check if your answer is correct.

    (hint: the answer is yes)

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