Partial Derivative – A sum of a quotient and e to the power of a function – Exercise 3216

Exercise 

Find the partial derivatives of the function

z(x,y)=\frac{x}{y^3}+e^{4xy}

Final Answer

z'_x (x,y)=\frac{1}{y^3}+4ye^{4xy}

z'_y (x,y)=-\frac{3x}{y^4}+4xe^{4xy}

Solution

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