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

What are real numbers, The hole set of irrational and rational numbers is t...

The hole set of irrational and rational numbers is the set of real numbers and is representing by R. Thus, the real numbers can also be describe in terms of position of a point on

Quantitative method, Year 1 2 3 4 ...

Year 1 2 3 4 5 6 7 8 9 10 Corn revenue 40 44 46

Find the frame of a quadratic polynomial , If α, β are the zeros of the pol...

If α, β are the zeros of the polynomial x 2 +8x +6 frame a Quadratic polynomial whose zeros are a)  1/α and  1/β b) 1+ β/α , 1+ α/β. Ans. P(x) = x 2 +8x +6 α + β = -8

Evaluate this integral value, The base of a right cylinder is the circle in...

The base of a right cylinder is the circle in the xy -plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y -axis in

Invoices and trade discounts, Natureland garden center buys lawn mowers tha...

Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?

Work in volume problems, Work : It is the last application of integr...

Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a forc

Quan. literacyprofiency, 3.20 euros per kilogram, 1 kilogram =2.2 pounds an...

3.20 euros per kilogram, 1 kilogram =2.2 pounds and current exchange rate is $1=0.9 euros. what is the price per pound?

Properties of t distribution, Properties of t distribution 1. The t di...

Properties of t distribution 1. The t distribution ranges from - ∞ to ∞ first as does the general distribution 2. The t distribution as the standard general distribution is

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