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

Hypothesis testing about the difference between two proporti, Hypothesis Te...

Hypothesis Testing About The Difference Between Two Proportions Hypothesis testing about the difference between two proportions is used to test the difference between the propo

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

#i need help on my math homework its on algabraitle.., The question is: If ...

The question is: If 0.2 x n = 1.4,what is the value of n.

What is pythagorean triples, What is Pythagorean Triples? A set of thre...

What is Pythagorean Triples? A set of three numbers a, b, and c that can satisfy the equation A 2 +b 2 = c 2 , is called a Pythagorean triple. The following is a list of

Integral calculus, I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

Statistics Assignment, I need help in assignment of stats? Please give me a...

I need help in assignment of stats? Please give me assist in my stats exam.

Ordinary differential equation, find the normalised differential of the fol...

find the normalised differential of the following {1,x,x^3}

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