Question

step by step how to calculate MUX and MUY of U=X^0.5Y^0.5

Answer 1

Step1: differentiate total utility with respect to good x

U=X^0.5Y^0.5

MUX=du/dx=0.5X^-0.5Y^0.5

Step 2: differentiate total utility with respect to good y

U=X^0.5Y^0.5

MUX=du/dy=0.5X^0.5Y^-0.5