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Math Help - Partial Diff.

  1. #1
    Newbie
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    Partial Diff.

    Hey guys,

    What is the partial differentiation w.r.t x and y for

    f(x,y) = 1/(x^2+y^2+1)

    Appreciate your help.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Santiago, Chile
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    f(x,y)=\left( x^{2}+y^{2}+1 \right)^{-1}\implies \frac{\partial f}{\partial x}=-\frac{2x}{\left( x^{2}+y^{2}+1 \right)^2}.

    You just treat other terms as constants. In the same fashion you can compute \frac{\partial f}{\partial y}.
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