Rolles theorem, Mathematics

Assignment Help:

Rolle's Theorem

 Assume f(x) is a function which satisfies all of the following.

1. f(x) is continuous in the closed interval [a,b].

2. f(x) is differentiable in the open interval (a,b).

3. f(a)  = f(b)

So, there is a number c as a < c < b and f′(c) = 0. Or, though f(x) has a critical point in (a,b).

 


Related Discussions:- Rolles theorem

Vectors, If r,R denote position vectors of points on the straight lines in ...

If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that

Normal distribution, Normal Distribution Figure 1 The norm...

Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma

+, what is 2+2=

what is 2+2=

Rules for inequalities, Here we look at only the rules without going ...

Here we look at only the rules without going into their proofs. They are: a  0. If a If a If a

Method to determine solution is absolute value, Method to determine solutio...

Method to determine solution is absolute minimum/maximum value Let's spend a little time discussing some methods for determining if our solution is in fact the absolute minimum

Objectives of helping children learn mathematics, Objectives After stud...

Objectives After studying this leaarn maths; you should be able to explain why a teacher needs to know the level of development of hi; her learners; identify the way

Basic operations on fractions, A simple example of fraction would be ...

A simple example of fraction would be a rational number of the form p/q, where q ≠ 0. In fractions also we come across different types of them. The two fractions

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