Results 1 to 2 of 2

Math Help - Question on Derivative Problem

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    56

    Question on Derivative Problem

    I am working on my homework and am asked to sketch the graph of the piecewise function

    f(x) = x^3 if x ≤ 0
    2x if x > 0

    Once I sketch the function I see that the function will not be differentiable at x = because the graph has a "corner" there and is not a smooth function. I am also asked to find f prime for the piecewise function and I get the following

    f'((x) = 3x^2 if x < 0
    2 if x > 0

    I am wondering if I have worked this problem correctly. Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by fishguts View Post
    I am working on my homework and am asked to sketch the graph of the piecewise function

    f(x) = x^3 if x ≤ 0
    2x if x > 0

    Once I sketch the function I see that the function will not be differentiable at x = 0 because the graph has a "corner" there and is not a smooth function. I am also asked to find f prime for the piecewise function and I get the following

    f'((x) = 3x^2 if x < 0
    2 if x > 0

    I am wondering if I have worked this problem correctly. Thanks
    correct
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 21st 2009, 01:25 PM
  2. Replies: 19
    Last Post: October 19th 2009, 06:10 PM
  3. Another Second Derivative question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 8th 2008, 01:17 PM
  4. derivative question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 24th 2008, 12:31 AM
  5. Replies: 2
    Last Post: March 15th 2007, 08:49 PM

Search Tags


/mathhelpforum @mathhelpforum