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Math Help - partial derivative notation question

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    partial derivative notation question

    partial derivative notation question-picture-45.png

    what does the notation at the bottom mean? the second derivative wrt z over the partial of y times the partial of x. Is that right? and what does that mean procedurally?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: partial derivative notation question

    It means to first take the partial derivative of z with respect to y, then take the partial derivative of this result with respect to x.

    For a function like this which is continuous and the respective partials exist, the order of differentiation does not matter, i.e.:

    \frac{\delta^2 z}{\delta x\delta y}=\frac{\delta^2 z}{\delta y\delta x}
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