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

Experiments probabillity of compound events, what is the expiremental proba...

what is the expiremental probability that the next toss and spin will result in 3 and tail if 1-heads,53.2-heads,49.3-heads,54.1-tail,65.2-tails,71.3-tails,62

Combined mean and standard deviation, Combined Mean And Standard Deviation ...

Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

SIMPLE INTEREST, A payday loan company charges a $95 fee for a $500 payday ...

A payday loan company charges a $95 fee for a $500 payday loan that will be repaid in 11 days. Treating the fee as interest paid, what is the equivalent annual interest rate?

Standardizing a random variable, Standardizing a Random Variable       ...

Standardizing a Random Variable       If X is a random variable with E(X) = m and V(X) = s 2 , then Y = (X – m)/ s is a random variable with mean 0 and standard deviatio

Describe about parallel and perpendicular lines, Describe about Parallel an...

Describe about Parallel and Perpendicular Lines ? Parallel Lines : Parallel lines are coplanar lines (lines that lie in the same plane) that never intersect. The bl

Inequalality, the low temperature in onw city was -4degrees Fahrenheit. The...

the low temperature in onw city was -4degrees Fahrenheit. The low temperature in another city was 8degrees Fahrenheit. what is an inequality to compare those temperatures

Limits, evaluate limit as x approaches 0 (x squared times sin (1/x)

evaluate limit as x approaches 0 (x squared times sin (1/x)

Why did the two dice game become more difficult?, The following exercises m...

The following exercises may help you to look more closely at the activities done above. E1) Why did the two dice game become more difficult? E2) Do you find the activities in

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