Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

f(x) = ln x, [1, 8] Using mean value theorem, find all numbers c that satisfy the conclusion of the Mean Value Theorem.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

\[f'(c)=\frac{f(b)-f(a)}{b-a}\]
I found my c to be 3.366 but the answer is wrong
a=1 and b=8

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

yes, i know how to do it..but got it wrong.. don't know why
Does it want an approximation?
it didn't say..so i'm thinking should the answer be an exact number
(Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
but then i think there is only 1 number c
Well the number you put above is not the exact answer
That is call an appoximation
how do get an exact number?
So I assume you did the setup right because you got the approximation to the correct answer
This is the setup you chose? \[\frac{1}{c}=\frac{\ln(8)-\ln(1)}{8-1}\]
yes
We know ln(1) =? and 8-1=? So can you tell me what 1/c= Don't use your calculator
and then f'(c) = 1/c then solve for c
ln 1 = 0 8-1= 7
Ok we have \[\frac{1}{c}=\frac{\ln(8)-0}{7}\] Do you know how to solve this for c?
ln 8/ 7 = 1/c c= 7/ln8
right
ok thanks so much!

Not the answer you are looking for?

Search for more explanations.

Ask your own question