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Partial Derivative – A function inside ln function – Exercise 3290

Exercise 

Find the partial derivatives of the function

z(x,y)=\ln (x+\frac{y}{2x})

Final Answer

z'_x (x,y)=\frac{2x}{2x^2+y}(1-\frac{y}{2x^2})

z'_y (x,y)=\frac{1}{2x^2+y}

Solution

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