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

Estimate the temperature, The temperature at midnight was 4°F. Through 2 A....

The temperature at midnight was 4°F. Through 2 A.M. it had dropped 9°F. What was the temperature at 2 A.M.? If the temperature is only 4° and drops 9°, it goes below zero. It d

Sphere and cone, How tall does a cone with diameter of 10 inches have to be...

How tall does a cone with diameter of 10 inches have to be to fit exactly half of a sphere with a diameter of 10 inches inside it?

Help with word problem, You would like to have $4000 in four years for a sp...

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann

What is minimum spanning tree, What is minimum spanning tree?  Determine a ...

What is minimum spanning tree?  Determine a railway network of minimal cost for the cities in the following graph using Kruskal's algorithm. Ans: Minimum spanning tree in a con

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Definition of infinite limits, Infinite limits : Let's now move onto the d...

Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity

Angles, why is a complimentary angle 90 degres

why is a complimentary angle 90 degres

Pendulum swings, how many pendulum swings will it take to walk across the c...

how many pendulum swings will it take to walk across the classroom

Graphical method for interpolation, Graphical Method Whil...

Graphical Method While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependen

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