Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Mean Value Theorem

  1. Dec 11, 2008 #1
    1. The problem statement, all variables and given/known data
    Suppose that 3 is < and equal than f'(x) which is also < and equal to 5 for all vales of x. Show that 18< or equal to f(8) -f(2) < or equal to 30.

    2. Relevant equations
    Mean Value theorem

    3. The attempt at a solution
    I have no clue where to start or which values associate with the values of those of MVT
  2. jcsd
  3. Dec 12, 2008 #2


    User Avatar
    Homework Helper
    Gold Member

    This one looks pretty straightforward: What does the mean value theorem say about [tex]\frac{f(8)-f(2)}{8-2}[/tex]?
  4. Dec 12, 2008 #3


    Staff: Mentor

    Start with the MVT, couched in terms of your problem. It says that for some c, with c in [?, ?], f'(c) = ?. Then, what other information are you given?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook