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How to get the bottom two equation? base on what rule? should the partial derivative respect to y is 1/2 y power to -1/2? and

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How to get the bottom two equation? base on what rule? should the partial derivative respect to y is 1/2 y power to -1/2? and why it equal to 0?

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+ U(x, y ) = x+ Partial derivative of utility function with respect to y is as follows: OU OU ox OU + dy ox dy dy OU ox OU 0= + Ox dy dy

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