Results 1 to 2 of 2

Math Help - Help with derivatives and functions!

  1. #1
    Newbie
    Joined
    Apr 2014
    From
    Chicago
    Posts
    1

    Help with derivatives and functions!

    This is from a question in my textbook:

    "6) Answer each of the following, stating yes or no and a brief explanation: a) Can a figure have a derivative, if it is not a function? Yes/No and explain.
    b) Can a function have a derivative at a point of discontinuity? Yes/No and explain. "

    Thanks for your help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,351
    Thanks
    904

    Re: Help with derivatives and functions!

    Quote Originally Posted by JoshuaJ0 View Post
    This is from a question in my textbook:

    "6) Answer each of the following, stating yes or no and a brief explanation: a) Can a figure have a derivative, if it is not a function? Yes/No and explain.
    b) Can a function have a derivative at a point of discontinuity? Yes/No and explain. "

    Thanks for your help!
    Here's a figure that's not a function. Tangent lines at two points on the figure are drawn at a single value of x. If the derivative existed at this point which one would it be?

    Help with derivatives and functions!-clipboard01.jpg

    A figure could be constructed such that there are infinitely many different values for the derivative at a given point.

    b) This is so fundamental I'm going to have to let you think about it yourself. How would you construct a tangent line to a point of discontinuity? If the limit of the function as x approaches some value doesn't exist can the limit of the difference quotient at that point exist?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. derivatives of functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 16th 2011, 11:35 AM
  2. Derivatives of Functions
    Posted in the Calculus Forum
    Replies: 6
    Last Post: July 13th 2011, 07:10 AM
  3. derivatives of e functions
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 4th 2010, 09:06 AM
  4. Replies: 4
    Last Post: February 10th 2009, 09:54 PM
  5. Replies: 1
    Last Post: April 15th 2008, 09:00 AM

Search Tags


/mathhelpforum @mathhelpforum