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Partial derivative of 1/(x^2+y^2+z^2)-First of all, you have to take the partial derivative of z with respect to x However, very next you have to assume the derivative again, with respect to y x should remain constant now pay attention to the phenomena of the cross partial as a measure of in what way the slope changes, with the change in the y variablePartial derivative of 1 ( (x^2y^2/ (z^2))) full pad » x^2 x^ {\msquare} \log_ {\msquare} \sqrt {\square} \nthroot \msquare {\square} \le \ge

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 The partial derivative with respect to x x is, f x ( x, y) = 4 x 3 f x ( x, y) = 4 x 3 Notice that the second and the third term differentiate to zero in this case It should be clear why the third term differentiated to zero It's a constant and weDifferentiate (x^2 y)/(y^2 x) wrt x;

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