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Calculus

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Implicit differentiation of 5x^2-2xy+7^y

  • Calculus - ,

    Two assumptions
    1. you want dy/dx
    2. You have the equation 5x^2 - 2xy + 7y^2 = 0

    10x - 2x dy/dx - 2y + 14y dy/dx = 0
    dy/dx( 14y - 2x) = 2y - 10x
    dy/dx = (2y-10x)/(14y - 2x) = (y - 5x)/(7y - x)

  • Calculus - ,

    No, the equation is
    5x^2-2xy+7^y

    Last term has 7 to the y power....

  • Calculus - ,

    Ouch, nasty term ...

    the derivative of 7^y would be
    (ln7)(7^y)dy/dx

    I am sure you can make the necessary changes .

  • Calculus - ,

    Yes...very nasty! Thanks

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