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

Calculus, Calculus Calculus is a branch of mathematics which describes...

Calculus Calculus is a branch of mathematics which describes how one variable changes in relationship to another variable. It enables us to determine the rate of change of one

Slope, One of the more significant ideas that we'll be discussing in this s...

One of the more significant ideas that we'll be discussing in this section is slope. The slope of a line is a measure of the steepness of any particular line and it can also be uti

Prove that the ratio of the sum of odd terms, If there are (2n+1)terms  in ...

If there are (2n+1)terms  in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans:    Let a, d be the I term & Cd of the AP. ∴ ak =

Geometry, Determine the coordinates of the point equidistant from Salt Lake...

Determine the coordinates of the point equidistant from Salt Lake City and Helena

Describe the basic concepts and terminology, Describe the Basic Concepts an...

Describe the Basic Concepts and Terminology? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's

Translate the formula into prefix form, Translate the following formula int...

Translate the following formula into a prefix form expression in Scheme: 5+4*(6-7/5)/3(14-5)(3+1)

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