A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Find the number c that satisfies the conclusion of Rolle's Theorem.
f(x) = 5  8x + 2x^2
[1, 3]
anonymous
 5 years ago
Find the number c that satisfies the conclusion of Rolle's Theorem. f(x) = 5  8x + 2x^2 [1, 3]

This Question is Closed

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x)=8+4x f'(x)=0 imples 8+4x=0 implies 4x=8 so x=2 since x=2 in between 1 and 3 then x=2 is the c that satisfies the conclusion of rolles thm

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't forget, for Rolle's theorem to be applicable, you need to show that f(1)=f(3) (which it does here).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and what if it doesnt

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i assumed that was the case since it said just to look at the conclusion

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it does...i was just wondering

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0but it easy to check to see if it does satisfy the hypothese so why not

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Rolle's theorem is dependent upon f real being continuous on a closed interval [a,b], differentiable on the open interval, (a,b), and f(a)=f(b).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You would roll over to the mean value theorem if f(a) did not equal f(b).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i get it! thank u guys! :D

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0but who needs rolle when u have mean value thm it easier to memorize one thm than two
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.