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

Word problems, A baseball card was worth $5.00 in 1940. It doubled in value...

A baseball card was worth $5.00 in 1940. It doubled in value every decade. How much was it worth in 2000?

Quistins, define even and odd function state whether given function are eve...

define even and odd function state whether given function are even odd or neither 1 f x =sin x cos x 2 f x {x}=x +x3n #Minimum 100 words accepted#

Explain adding and subtracting in scientific notation, Explain Adding and S...

Explain Adding and Subtracting in Scientific Notation? To add or subtract numbers in scientific notation, the numbers must be expressed so that they have the same exponent.

Linear equations, A police academy is training 14 new recruits. Some are wo...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Nonhomogeneous differential equations, Let's here start thinking regarding ...

Let's here start thinking regarding that how to solve nonhomogeneous differential equations.  A second order, linear non-homogeneous differential equation is as y′′ + p (t) y′ +

Applications of series - differential equations, Series Solutions to Differ...

Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar

Evaluate of the largest angle, The measures of the angles of a triangle are...

The measures of the angles of a triangle are in the ratio of 3:4:5. Evaluate of the largest angle. a. 75° b. 37.5° c. 45° d. 60° a. The addition of the measures of t

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