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Partial Derivative – A function with log – Exercise 3286

Exercise 

Find the partial derivatives of the function

z(x,y)={(1+\log_y x)}^3

Final Answer

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}

Solution

Coming soon…

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