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# Partial Derivative – A function inside ln function – Exercise 3290

Exercise

Find the partial derivatives of the function

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

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