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

Standard trig equation, "Standard" trig equation: Now we need to move into...

"Standard" trig equation: Now we need to move into a distinct type of trig equation. All of the trig equations solved to this point were, in some way, more or less the "standard"

Climate and vegetation of southeast asia, 1.) How does the monsoon influenc...

1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and

Show that positive integers is divisible by 6, Show that the product of 3 c...

Show that the product of 3 consecutive positive integers is divisible by 6. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1

Parallel lines, Parallel to the line specified by 10 y + 3x= -2 In this...

Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this

Horizontal tangents for parametric equations, Horizontal tangents for Param...

Horizontal tangents for Parametric Equations Horizontal tangents will take place where the derivative is zero and meaning of this is that we'll get horizontal tangent at value

Logarithmic functions, y=log4(x). i am unsure what this graph is supposed t...

y=log4(x). i am unsure what this graph is supposed to look like?

Converting, I need help converting my project fractions to the number 1.

I need help converting my project fractions to the number 1.

Determine the inverse transform, Determine the inverse transform of each of...

Determine the inverse transform of each of the subsequent. (a)    F(s) = (6/s) - (1/(s - 8)) + (4 /(s -3)) (b)   H(s) = (19/(s+2)) - (1/(3s - 5))  + (7/s 2 ) (c)    F(s) =

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