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Find the partial derivative for x.

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

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treat y as a constant:

f(x,y) = (x^2 + y^2)^.5

dy/dx = .5 (x^2 + y^2)^-.5 * (2x)
= x/sqrt(x^2 + y^2)

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