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Math Help - Partial Differentiation

  1. #1
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    Partial Differentiation

    If f(x,y,z) = f(x,y) g(y) h(z), find Fxyz

    The question is regarding partial differentiation. I tried doing it and managed to obtain fxgyhz.

    Is this the way to simplify the answer ?

    Thanks.

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  2. #2
    A Plied Mathematician
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    Hmm. I don't think you've managed to take the y derivative properly. You have two functions of y multiplied together, so you'll have to use the product rule.
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  3. #3
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    Would I get the following:

    Fx = fx(x,y) g(y) h (z)
    Fxy = [fx(x,y) gy + fxy(x,y) g(y)]h(z)
    Fxyz = [fx(x,y) gy + fxy(x,y) g(y)]hz
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  4. #4
    A Plied Mathematician
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    That looks good to me!
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