# How do you give a value of c that satisfies the conclusion of the Mean Value Theorem for Derivatives for the function f(x)=-2x^2-x+2 on the interval [1,3]?

The conclusion of the Mean Value Theorem says that there is a number ##c## in the interval ##(1, 3)## such that:
##f'(c)=(f(3)-f(1))/(3-1)##

Don't use plagiarized sources. Get Your Custom Essay on
How do you give a value of c that satisfies the conclusion of the Mean Value Theorem for Derivatives for the function f(x)=-2x^2-x+2 on the interval [1,3]?
Just from \$13/Page

To find (or try to find) ##c##, set up this equation and solve for ##c##.
If there’s more than one ##c## make sure you get the one (or more) in the interval ##(1, 3)##.

For ##f(x)–2x^2-x+2##, we have
##f(1)=-1##, and ##f(3)=-18-3+2=-19##
Also,
##f'(x)=-4x-1##.

So the ##c## we’re looking for satisfies:

##f'(c)=-4c-1=(f(3)-f(1))/(3-1)=(-19–1)/(3-1)=(-18)/2=-9##

So we need

##-4c-1=-9##. And ##c=2##.

Note:
I hope you’ve been told that actually finding the value of ##c## is not a part of the Mean Value Theorem.
The additional question”find the value of ##c##” is intended as a review of your ability to solve equations. For most functions, you will not be able to find the ##c## that the MVT guarantees us is there..

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.