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Solution assignment 10 Partial differentiation

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Assignment 10

Calculate the first partial derivatives of the following function.

U(x,y)=6x^{0.5}y^{0.5}

Solution

Again a simple assignment.

U_x=3x^{-0.5}y^{0.5}=3(\displaystyle\frac{y}{x})^{0.5}

U_y=3x^{0.5}y^{-0.5}=3(\displaystyle\frac{x}{y})^{0.5}

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