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

Oscar sold 2 glasses of milk for each 5 sodas he sold, Oscar sold 2 glasses...

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

Mean, a data set has a mean of 3, a median of4, and a mode of 5, which numb...

a data set has a mean of 3, a median of4, and a mode of 5, which number must be in the data set 3,4,or5

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

Divison, what is 24 diveded by 3

what is 24 diveded by 3

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

Percentage, At an office, the manager earns 40% more than a first year empl...

At an office, the manager earns 40% more than a first year employees. The employee earns what fraction of the manager earnings?

Find the rate at which its tip is moving, If the minute hand of a big clock...

If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.

Probability, A man is known to speak truth 3 out of 4 times.He throws adi...

A man is known to speak truth 3 out of 4 times.He throws adie and reports it is a six. Find the probability that it is actually a six. Solution)  we can get a six if a man s

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