Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Deveno

Math Help - The derivative

  1. #1
    Junior Member
    Joined
    Aug 2013
    From
    hcm
    Posts
    27

    The derivative

    Hi all, this is the problem that I don't know how to solve it. I think I should use the linear approximation
    f(x) ~ f(a) + f'(a)(x-a)
    But I'm not sure. Some hints will help me a lot. Thanks so much.

    The table below shows the number of student, N, admitted by the School of BA in year t
    T N(t)
    2004 27
    2005 102
    2006 95
    2007 116
    2008 89
    Estimate as accurately as possible the value of the derivative Ní(t) in the year 2005, 2006, 2007
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,319
    Thanks
    697

    Re: The derivative

    If f(x) ~ f(a) + f'(a)(x - a), then:

    f(x) - f(a) ~ f'(a)(x - a), and assuming x - a is sufficiently small, and f is continuous:

    f'(a) ~ [f(x) - f(a)]/(x - a).

    Put another way, you cannot actually find N'(t) = dN/dt, but you CAN find ΔN/Δt, where Δt = 1 year.

    The graph of N will be composed of line segments (well, dots, actually, but we tend to "connect the dots").

    You will actually get two slopes, one for the segment on each side of each t. It might be a good idea to average the two numbers you get for 2005,2006 and 2007 (and perhaps you see why you are not asked about 2004 and 2008).
    Thanks from math88
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. difference between intrinsic derivative and covariant derivative
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: November 16th 2013, 01:58 AM
  2. Replies: 4
    Last Post: October 17th 2012, 06:51 AM
  3. contuous weak derivative $\Rightarrow$ classic derivative ?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: April 22nd 2011, 02:37 AM
  4. Replies: 0
    Last Post: January 24th 2011, 11:40 AM
  5. Replies: 2
    Last Post: November 6th 2009, 02:51 PM

Search Tags


/mathhelpforum @mathhelpforum