<p>It measures the acceleration of change in the production. Or alternatively you can view it as the rate of change of <em>marginal</em> production. That is it will tell you how marginal product changes.</p>

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2022-12-02T00:05:27.870Z
2022-12-02T00:05:27.870Z
1muflon1
<p><span class="math-container">$\frac{\partial^2f}{\partial k^2}$</span></p>
<p>Marginal Rate of Capital means the extra production from adding a unit of capital.
Assume f(x) here means production. What does the second differential mean, if there first is mrk?</p>

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2022-12-01T22:27:42.873Z
Please use [MathJax](https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference) instead of images. [Wikipedia](https://en.wikipedia.org/wiki/Marginal_product_of_capital#Diminishing_marginal_returns) did not help?
AKdemy
CC BY-SA 4.0
2022-12-12T22:27:28.337Z
Do you mean the second derivative of production wrt to capital, or the second derivative of the marginal production of capital (which is the third derivative of production wrt to capital)?
H Huang
<microeconomics><marginal><capital>
What does the second differential of the marginal rate of capital mean in the 'real world'? What's the explanation?
DonkeyBoy19
# What does the second differential of the marginal rate of capital mean in the 'real world'? What's the explanation?

(Asked by: username_0 on 2022-12-01)

$\frac{\partial^2f}{\partial k^2}$

Marginal Rate of Capital means the extra production from adding a unit of capital.
Assume f(x) here means production. What does the second differential mean, if there first is mrk?

**Tags:** microeconomics, marginal, capital

> **Comments:**
> **username_1**: Please use [MathJax](https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference) instead of images. [Wikipedia](https://en.wikipedia.org/wiki/Marginal_product_of_capital#Diminishing_marginal_returns) did not help?  
> **username_2**: Do you mean the second derivative of production wrt to capital, or the second derivative of the marginal production of capital (which is the third derivative of production wrt to capital)?  

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## 1 answers

### Answer by username_3 on 2022-12-02. Score: 1

It measures the acceleration of change in the production. Or alternatively you can view it as the rate of change of *marginal* production. That is it will tell you how marginal product changes.


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