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Math Help - Implicit Diff with Cos

  1. #1
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    Implicit Diff with Cos

    f(x) = y\cos(x) = 2x^{2} + 5y^{2}

    [\cos(x)][1]y' + [y][-\sin(x)] = 4x + 10yy'

    \cos(x)y' + [-\sin(x)y] = 4x + 10yy'

    \cos(x)y' - \sin(x)y = 4x + 10yy'

    \cos(x)y' - 10yy' = \sin(x)y + 4x

    y'[\cos(x) - 10y] =  \sin(x)y + 4x

    y' = \dfrac{ \sin(x)y + 4x}{\cos(x) - 10y}
    Last edited by Jason76; September 28th 2013 at 10:42 AM.
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  2. #2
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    Re: Implicit Diff with Cos

    If your question is whether or not this is correct, yes, it is.
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