<p>Wolfram Alpha might come with some help. Try entering <span class="math-container">$\log x+y^2=n$</span> for different n's (levels of utility). You will get the idea of how the indifference curve looks like. </p>

<p>e.g.
<a href="https://www.wolframalpha.com/input/?i=logx%2By%5E2+%3D+1.4" rel="nofollow noreferrer">https://www.wolframalpha.com/input/?i=logx%2By%5E2+%3D+1.4</a></p>

CC BY-SA 4.0
2019-10-29T16:51:31.047Z
2019-10-29T16:51:31.047Z
bajun65537
<p>Let the utility function be: <span class="math-container">$U(x,y) = \log x +y^2$</span>.
In this case, the MRS is coming out to be <span class="math-container">$\frac{1}{2xy}$</span>. Thus, how will the shape look like? </p>

CC BY-SA 4.0
2019-10-29T17:30:20.163Z
$y^{2}$ is a strange utility function over $y$ because it has increasing marginal utility.
BKay
CC BY-SA 4.0
2019-10-29T17:45:33.000Z
Thanks for the feedback . But why does that affect the the utility function. We can have utility functions like x^2 + y^2.
ghghghghghg
<microeconomics>
What would be the shape of the Indifference curve with slope 1/xy?
ghghghghghg
# What would be the shape of the Indifference curve with slope 1/xy?

(Asked by: username_0 on 2019-10-29)

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?

**Tags:** microeconomics
> **Comments:**
> **username_1**: $y^{2}$ is a strange utility function over $y$ because it has increasing marginal utility.  
> **username_0**: Thanks for the feedback . But why does that affect the the utility function. We can have utility functions like x^2 + y^2.  

---

## 1 answers

### Answer by username_2 on 2019-10-29. Score: 1 | Accepted answer

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.

e.g.
<https://www.wolframalpha.com/input/?i=logx%2By%5E2+%3D+1.4>


---

