💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Rolle's Theorem Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.$$f(x)=x^{3}-2 x^{2}-8 x ;[-2,4]$$

$$c=\pm \frac{2 \pm 2 \sqrt{7}}{3}$$

Calculus 1 / AB

Chapter 4

Applications of the Derivative

Section 6

Mean Value Theorem

Missouri State University

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

07:22

Determine whether Rolle&#x…

01:34

Rolle's Theorem Deter…

01:54

01:15

01:53

03:49

02:02

02:12

01:48

02:39

problem number 12 to apply will cheer him. We need to say that the f is continues on the clothes and terrible eight we and the French table. And if is he could do it will be so we need to check that ever a is equal to f it will be S O F four averages and for negative two is equal to negative Threw for three born in this through times Negative two for two money That's a story minus eight ah times negative too which is equal to zero at before which is four or three by this through times for port to minus eight times four which is equal to zero Therefore, only fear him can he applying And so we need toe know that the point as potential x equal to feel so if dash off x off The function given in this example is it will to a three x squared minus four x minus eight And we said that way, said basic which is equal to zero to find the X values eso According to that it's very is equal to ah two plus or negative to square root of seven over three so and the two points two plus as the two points two plus two square root of 7/3 and to minus to square root off. Seven over free are found in the interview. In negative toe and fourth weekend use a full ah was points so C is equal to X, which is equal toe to possible negative to a square root of seven old over.

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Determine whether Rolle's Theorem applies to the following functions on…

Rolle's Theorem Determine whether Rolle's Theorem applies to the f…