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Math Help - Implicit differentiation?

  1. #1
    Junior Member
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    Implicit differentiation?

    Hi - hopefully just a quickie here: Is this question a matter of implicit differentiation:

    y + 2xsin(y) = e^x

    And does it differentiate to:

    dy/dx + 2x*dy/dx*cos(y) + 2sin(y) = e^x

    Thanks in advance
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  2. #2
    MHF Contributor
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    Yes,

    and if you want \displaystyle\frac{dy}{dx}, just factor it out

    \displaystyle\frac{dy}{dx}\left(1+2xCosy\left)=e^x-2Siny

    \displaystyle\frac{dy}{dx}=\frac{e^x-2Siny}{1+2xCosy}
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