answersLogoWhite

0

It requires that f(a)=f(b) where a and b are beginning and ending points. Also, it says there is a c between a and such that f'(c)=0. If f were not differentiable on the open interval, the statement f'(c)=0 would be invalid.

User Avatar

Wiki User

16y ago

What else can I help you with?

Related Questions

What is the significance of the Weierstrass theorem in mathematical analysis?

The Weierstrass theorem is significant in mathematical analysis because it guarantees the existence of continuous functions that approximate any given function on a closed interval. This theorem is fundamental in understanding the behavior of functions and their approximation in calculus and analysis.


Differentiate a closed interval from an open interval?

Open interval does not include its end points while closed interval includes


Will you find the number 89 in the interval 79-89?

Yes, if it is the closed interval. No, if it is the open interval.


What are the limitation of the probability?

Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].


What includes least and greatest value?

A closed interval.


Why do not you closed the interval mat with infinity?

Because infinity is not a number.


What does closed 2 mean?

In an interval it means that the 2 is included.


Is Closed interval finite?

Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.


Is it possible to take the union of two open intervals and get a closed interval?

No.


Is it possible to take the union of infinitely many open intervals and get a closed interval?

No, it is not.


Is it possible to take the union of two closed intervals and get an open interval?

aye


What is the relationship between the Green's Theorem Divergence Theorem and Stoke's Theorem?

GREEN'S THEOREM: if m=m(x,y) and n= n(x,y) are the continuous functions and also partial differential in a region 'r' of x,y plane bounded by a simple closed curve c. DIVERGENCE THEOREM: if f is a vector point function having continuous first order partial derivatives in the region v bounded by a closed curve s