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

Determination of the regression equation, Determination of the Regression E...

Determination of the Regression Equation The determination of the regression equation such given above is generally done by using a technique termed as "the method of least sq

Functions of many variables, There may be more than one independent v...

There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the

Determine how many square centimeters, Determine how many square centimeter...

Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.

Logic family, what are the characteristic of digital ic

what are the characteristic of digital ic

Impediments in time series analysis, Impediments in time series analysis ...

Impediments in time series analysis Accuracy of data in reflecting a) Drastic changes for illustration in the advent of a major competitor, period of war or unexpected chan

Comparison test for improper integrals - integration, Comparison Test for I...

Comparison Test for Improper Integrals Here now that we've seen how to actually calculate improper integrals we should to address one more topic about them.  Frequently we ar

Allied mathematics, The tenth term in the binomial expansion of (1-1/4)(1-1...

The tenth term in the binomial expansion of (1-1/4)(1-1/5)(1-1/6)...(1-1/n+3) is equal to

The width of a rectangle is 30.5% of its length, The width of a rectangle i...

The width of a rectangle is 30.5% of its length l. Write a formula for the area and perimeter of the rectangle in terms of l only

Inventory record, a) Complete the inventory record below for an FOQ of 100 ...

a) Complete the inventory record below for an FOQ of 100 units. b) Talk about weaknesses of MRP. List at least 3 and describe each in a sentence or two. Item: A

Find the probability, A bag contains 19 tickets, numbered from 1 to 19. A t...

A bag contains 19 tickets, numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement .Find the probability that both tickets will show even numb

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