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Math Help - Partial derivative, is the answer Im giving right?

  1. #1
    Member
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    Partial derivative, is the answer Im giving right?

    Well, it looks simple, but I'm not sure If the answer I'm giving is right.

    The function is:

    f(x,y)=\sin|y|
    And it asks for the partial derivatives, so:

    \displaystyle\frac{\partial f}{\partial x}=0

    And
    \displaystyle\frac{\partial f}{\partial y}=\begin{Bmatrix}{ \cos|y|}&\mbox{ if }& y>0\\\not{\exists & \mbox{if}& y=0\\-\cos|y| & \mbox{if}& y<0\end{matrix}

    Is this right?
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  2. #2
    A Plied Mathematician
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    Looks good to me.
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