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

Statistics, reasons why we use statistics and examples of why?

reasons why we use statistics and examples of why?

Calculate the instantaneous rate of change of the volume, Assume that the a...

Assume that the amount of air in a balloon after t hours is specified by                                             V (t ) = t 3 - 6t 2 + 35 Calculate the instantaneous

Volume of grains in the silo , The volume of grains in a silo at a particul...

The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m 3 . Find the rate of change of the volume of grains in the silo from first pri

Pair of straight line, show that one of the straight lines given by ax2+2hx...

show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2

Find out the surface area of the solid, Find out the surface area of the so...

Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds

Fractions, if you have 1/5 of a candy bar and 4 friends how much will they ...

if you have 1/5 of a candy bar and 4 friends how much will they get

Andrew is helping his mom remodel his room, The perimeter of Andrew''s rect...

The perimeter of Andrew''s rectangular room is 44 feet. What equation was used to find the perimeter?

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