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Math Help - find dy/dx by implicit differentiation

  1. #1
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    find dy/dx by implicit differentiation

    find dy/dx by implicit differentiation

    x^2-2xy+y^3=c
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  2. #2
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    Quote Originally Posted by thecount View Post
    find dy/dx by implicit differentiation

    x^2-2xy+y^3=c
    implicit differentiation is just the chain rule, where the derivative of y is dy/dx. just take the derivative of that equation

    if x is a function of y, and c is a constant:


    2x - 2x*dy/dx - 2y + 3y^2*dy/dx = 0

    dy/dx (-2x + 3y^2)= 2y-2x

    dy/dx = (2y-2x)/(-2x + 3y^2)
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