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Partial Derivative – A ln function inside a ln function – Exercise 3273

Exercise 

Find the partial derivatives of the function

z(x,y)=\ln (x+\ln y)

Final Answer

z'_x (x,y)=\frac{1}{x+\ln y}

z'_y (x,y)=\frac{1}{x+\ln y}\cdot \frac{1}{y}

Solution

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