Partial Derivative – A function to the power of three – Exercise 3224

Exercise 

Find the partial derivatives of the function

z(x,y)={(5x^2y-y^3+7)}^3

Final Answer

z'_x (x,y)=3{(5x^2y-y^3+7)}^2\cdot 10xy

z'_y (x,y)=3{(5x^2y-y^3+7)}^2\cdot (5x^2-3y^2)

Solution

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