# What would be the shape of the Indifference curve with slope 1/xy? [closed]

Let the utility function be: $$U(x,y) = \log x +y^2$$. In this case, the MRS is coming out to be $$\frac{1}{2xy}$$. Thus, how will the shape look like?

• $y^{2}$ is a strange utility function over $y$ because it has increasing marginal utility. – BKay Oct 29 '19 at 17:30
• Thanks for the feedback . But why does that affect the the utility function. We can have utility functions like x^2 + y^2. – DARE2ZLATAN Oct 29 '19 at 17:45

Wolfram Alpha might come with some help. Try entering $$\log x+y^2=n$$ for different n's (levels of utility). You will get the idea of how the indifference curve looks like.