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Math Help - Implicit Differentiation

  1. #1
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    Implicit Differentiation

    I am really confused on how to differentiate things like this.. please help.

    6y^3 + 5xsiny = cos3x

    find dy/dx.
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  2. #2
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    Quote Originally Posted by mmfoxall View Post
    I am really confused on how to differentiate things like this.. please help.

    6y^3 + 5xsiny = cos3x

    find dy/dx.
    \displaystyle 18y^2 \cdot \frac{dy}{dx} + 5x \cdot \cos{y} \cdot \frac{dy}{dx} + 5\sin{y} = -3\sin(3x)

    solve for \displaystyle \frac{dy}{dx}
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  3. #3
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    What i get is [-3sin(3x) - 5sin(y)]/[(18y^2 + 5xcos(y)]. Is this right?
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  4. #4
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by mmfoxall View Post
    What i get is [-3sin(3x) - 5sin(y)]/[(18y^2 + 5xcos(y)]. Is this right?


    Correct!
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