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

Commercial maths, if 500kg of food lasts 40 days for 30 men.how many men wi...

if 500kg of food lasts 40 days for 30 men.how many men will consume 675kg of food in 45 days.

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

Homework, joey asked 30 randomly selected students if they drank milk, juic...

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

How many dollars did they raise the first two days, The freshman class is p...

The freshman class is participating in a fundraiser. Their target is to raise $5,000. After the first two days of the fundraiser, they have raised 32 percent of their goal. How man

Evaluate inverse tangents , Evaluate following limits. Solution ...

Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol

Mealy and Moore Machine, Distinguish between Mealy and Moore Machine? Const...

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''s encountered is even or odd.on..

School mathematics, I am interested in school mathematics online assignment...

I am interested in school mathematics online assignments , homework help, projects etc. I have good knowledge of mathematics and experience of 15+ years teaching mathematics in cen

How to change improper fractions to mixed/ proper fractions, how do you cha...

how do you change an improper fraction to a mixed number or whole or proper

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