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

Addition of unlike terms, In this case, the first point we have to re...

In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob

Differentiate inside function in chain rule, Differentiate following. f ...

Differentiate following. f ( x ) = sin (3x 2   + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.

Solution of rectilinear figures, A tower and a monument stand on a level pl...

A tower and a monument stand on a level plane. the angles of depression on top and bottom of the monument viewed from the top of the tower are 13 degrees and 31 degrees, respective

Operations with rational numbers, larry spends 3/4 hours twice a day walkin...

larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

Decimals, 0.875 of a number is 2282. What is the number ?

0.875 of a number is 2282. What is the number ?

Application of statistics-quality control, Quality Control Normally th...

Quality Control Normally there is a quality control departments in every industry which is charged along with the responsibility of ensuring about the products made do meet th

How to adding polynomials, How to Adding Polynomials? The numerical par...

How to Adding Polynomials? The numerical part of a monomial is called the coefficient. For example, the coefficient of 5x is 5. The coefficient of -7a 2 b 3 is -7. Like

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