Results 1 to 2 of 2

Math Help - Derivative of some function f(x) at some number a

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    10

    Derivative of some function f(x) at some number a

    I have a limit question on my homework that I don't know how to do.
    The limit represents the derivative of some function f(x) at some number a.

    lim (tan(x) - 1) / ( x - (π/4))
    x →π/4

    I have to select all appropriate f(x) and a from a list that was given for the answer. The list was:

    f(x) = tan(x), a = π/4
    f(x) = tan(x), a = π
    f(x) = tan(x) - 1, a = π
    f(x) = tan(x), a = 1/4
    f(x) = tan(x) - 1, a = 1/4
    None of these

    How would I solve this question? Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by zer0e View Post
    I have a limit question on my homework that I don't know how to do.
    The limit represents the derivative of some function f(x) at some number a.

    lim (tan(x) - 1) / ( x - (π/4))
    x →π/4

    I have to select all appropriate f(x) and a from a list that was given for the answer. The list was:

    f(x) = tan(x), a = π/4
    f(x) = tan(x), a = π
    f(x) = tan(x) - 1, a = π
    f(x) = tan(x), a = 1/4
    f(x) = tan(x) - 1, a = 1/4
    None of these

    How would I solve this question? Thanks in advance.
    by knowing and understanding the definition of a derivative of a function at a specific x-value, say x = a ...

    f'(a) = \lim_{x \to a} \frac{f(x) - f(a)}{x-a}<br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: November 19th 2011, 09:10 PM
  2. Replies: 5
    Last Post: June 3rd 2010, 03:32 AM
  3. First Derivative of the ln of a number
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 27th 2008, 12:05 PM
  4. Stirling number derivative question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 15th 2008, 02:52 PM
  5. Replies: 4
    Last Post: November 23rd 2007, 04:34 PM

Search Tags


/mathhelpforum @mathhelpforum