1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Graphing the derivative of a graph

  1. Feb 21, 2004 #1
    one of my calc assignments asks me to graph the derivative of a graph which can be seen here: http://www.eden.rutgers.edu/~cjjacob/images/fifth.jpg [Broken]

    i already know that when theres a cusp on the graph, the derivative of that point is at zero and that slope determines how the derivative acts. can anyone enlightnem me and give me tips on how to graph this one's derivative? Thanks.
     
    Last edited by a moderator: May 1, 2017
  2. jcsd
  3. Feb 23, 2004 #2

    Tom Mattson

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Sure, here are some tips:

    1. When f(x) is increasing, f'(x)>0. When f(x) is decreasing, f'(x)<0.

    2. When f(x) is concave up, f"(x)>0. When f(x) is concave down, f"(x)<0.

    3. Zeros in f(x) do not generally correspond to zeros in f'(x). (You'd be surprised at how many students goof that one up).
     
  4. Feb 23, 2004 #3
    Thanks!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook