Results 1 to 2 of 2

Math Help - mean value

  1. #1
    Member
    Joined
    Sep 2005
    Posts
    136

    mean value

    Suppose that f (0)= - 3 and f ' (x) <= -5 for all values of x. The inequality gives restriction on rate of growth of f. which then imposes a restriction on possible values of f. Use mean value theorem to determine how large f (4) can possible be
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2005
    From
    Earth
    Posts
    1,599
    So \frac{f(b)-f(b)}{b-a} \le -5 for some a,b.

    Thus \frac{f(b)-(-3)}{4-0} \le -5

    Take it from here.
    Follow Math Help Forum on Facebook and Google+


/mathhelpforum @mathhelpforum