Partial Derivative – A function with log – Exercise 3286

z'_x (x,y)=\frac{3}{x\ln y}{(1+\frac{\ln x}{\ln y})}^2

z'_y (x,y)=3{(1+\frac{\ln x}{\ln y})}^2\cdot \frac{-\ln x}{y\ln^2 y}