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Math Help - implicit differentiation

  1. #1
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    Unhappy implicit differentiation

    i got the following: (8y)(dy/dx) + 10x^4 = 0

    now it solves to:
    dy/dx = -(5x^4)/(4y)


    just dont understand how its come to that?
    Last edited by CaptainBlack; September 8th 2007 at 03:11 AM. Reason: change frown back to :(
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by taurus View Post
    i got the following8y)(dy/dx) + 10x^4 = 0

    now it solves to:
    dy/dx = -(5x^4)/(4y)


    just dont understand how its come to that?
    8y \frac{dy}{dx} + 10x^4 = 0

    8y \frac{dy}{dx} = -10x^4

    \frac{dy}{dx} = -\frac{10x^4}{8y}

    \frac{dy}{dx} = -\frac{5x^4}{4y}

    -Dan
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  3. #3
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    yea but y 5/4?
    How?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by taurus View Post
    yea but y 5/4?
    How?
    Ummm... What?

    \frac{10}{8} = \frac{2 \cdot 5}{2 \cdot 4} = \frac{5}{4}

    -Dan
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