Question

if the utility function is given by u=x^2y^2 what is marginal utility?

Answer 1

$U(xy) = x^2 y^2$

Marginal utility of x, MU_x  is the first order partial derivative with respect to x and marginal utility of y, MU_y  is the first order partial derivative with respect to y.

$MU_x =\frac{ d(x^2 y^2 ) }{ dx }= 2xy^2 \\ MUy = \frac{d(x^2 y^2 ) }{ dy }= 2x^2y$