The mean value theorem, Mathematics

Assignment Help:

The Mean Value Theorem : In this section we will discuss the Mean Value Theorem. 

Before we going through the Mean Value Theorem we have to cover the following theorem.

Rolle's Theorem : Assume f ( x ) is a function which satisfies all of the following.

1. f ( x ) is continuous on the closed interval [a,b].

2. f ( x ) is differentiable on the open interval (a,b).

3. f ( a ) =f (b )

Then there is a number c such that a < c < b and f ′ (c ) = 0 .  Or, in other terms f ( x ) contain a critical point in (a,b).

 


Related Discussions:- The mean value theorem

Geometric mean-geometric progression, Geometric mean - It is a measure ...

Geometric mean - It is a measure of central tendency normally utilized to measure industrial increases rates. - It is explained as the nth root of the product of 'n' observa

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

What is chain based index numbers?, What is Chain Based Index Numbers? ...

What is Chain Based Index Numbers? A chain based index is one whereas the index is calculated every year by using the previous year as the base year. This kind of index measur

Quadratic equation, can anyone explain me the concept of quadratic equation...

can anyone explain me the concept of quadratic equation?

Natural numbers, To begin with we have counting numbers. These ...

To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai

Numerical.analysis. , Please, I want to know and study "stability 0n predic...

Please, I want to know and study "stability 0n predictor -corrector method .My gmail is [email protected] heap and kind to me .Thanks for this.

Product moment coefficient, Product Moment Coefficient This gives an i...

Product Moment Coefficient This gives an indication of the strength of the linear relationship among two variables. Note that this formula can be rearranged to have di

Determinant of an n×n matrix, How can we calculate the Determinant of an N×...

How can we calculate the Determinant of an N×N Matrix?

What was the temperature at midnight, The temperature at 6 P.M. was 31°F. T...

The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd