# Mean Value Theorem Calculator

**Mean Value Theorem Calculator** is a useful online tool which you can use to calculate the rate of change of a function using the **Mean Value Theorem**. This handy tool can conveniently carry out your calculation in a swift and accurate manner. It can produce the derivative of the given function in just a second or two.

### What is the Mean Value Theorem?

The mean value theorem is one of the most important concepts in calculus, the mathematical study of continuous change. It is widely used to learn about the behavior of a particular function. Basically, this theorem asserts that if **f** is a continuous function, which is closed on the interval **[a,b]** and is differentiable on the open interval **(a,b)**, then there will be a point **c** in the open interval (a,b), where the differential of **f** at point **c**, will be defined by f'(c) by this formula:

f'(c) = [f(b)-f(a)] / (b-a)

### How can Mean Value Theorem Calculator be used?

Our mean value theorem calculator is very user-friendly and simple to use. You can carry out a calculation by following the steps given in this article.

### What are the Benefits of using the Mean Value Theorem Calculator?

Our Mean Value Theorem calculator is free, fast and easy to use.

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## How to use the Mean Value Theorem Calculator?

Our mean value theorem calculator is very user-friendly and simple to use. You can carry out a calculation by following the steps given below:

- Type in the function and limits in the input field. Click on the “Submit” button when you are done.
- You should be able to see the value displayed on the screen. Soon, a new window will pop up automatically and the rate of change of the function, calculated using the mean value theorem, will be shown there.

## Benefits of Using the Mean Value Theorem Calculator

Our Mean Value Theorem calculator has some notable advantages, which have been listed below:

**It is easily available**. You can access it anytime, anywhere, without having to pay anything at all.**It is fast and accurate**. The calculator will carry out the calculation for you in a few seconds, and give you a reliable and accurate result. You will not even see the actual mathematical operation being performed, but you can cross-check it for accuracy and see for yourself.**It saves you a lot of time**. Traditional mathematicians understandably frown upon the use of calculators of any sort. However, it is also true that advanced mathematical calculations can be lengthy, time-consuming, and prone to human errors. In today’s busy lifestyle, we do not always have so much time in hand. In such a situation, our mean value theorem is an excellent tool for getting accurate results in a very short span of time.

## Conclusion

For professional mathematicians, students, and teachers alike, our mean value theorem calculator is a valuable tool and highly recommended.