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Partial Derivative – y divided by x inside arctan function – Exercise 3284

Exercise 

Find the partial derivatives of the function

z(x,y)=\arctan\frac{y}{x}

Final Answer

z'_x (x,y)=\frac{-y}{x^2+y^2}

z'_y (x,y)=\frac{x}{x^2+y^2}

Solution

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