Results 1 to 5 of 5

Math Help - Graph

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    4

    Graph

    Using calculus and technology, sketch the graph of f(x)=xe^x
    .Be sure to note any relative and/or absolute extrema, point(s) of inflection and any asymptotic features. Show all symbolic work that helps you arrive at your conclusions.


    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1
    Quote Originally Posted by venikUSA View Post
    Using calculus and technology, sketch the graph of f(x)=xe^x
    .Be sure to note any relative and/or absolute extrema, point(s) of inflection and any asymptotic features. Show all symbolic work that helps you arrive at your conclusions.


    What is your question? Graph it on your calculator. To find extrema, take the derivative and do a sign chart analysis. For inflection points, use the 2nd derivative.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2009
    Posts
    4
    what are the first and second derivatives of f(x)=xe^x?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,108
    Thanks
    970
    Quote Originally Posted by venikUSA View Post
    what are the first and second derivatives of f(x)=xe^x?
    use the product rule to find them ...
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1
    Quote Originally Posted by venikUSA View Post
    what are the first and second derivatives of f(x)=xe^x?
    Use the product rule:

    Let f = x and g = e^x

    (f ')(g) + (f) (g ')

    *****

    f(x) = xe^x

    f '(x) = (1)(e^x) + (x)(e^x)

    f "(x) = e^x + \left[(1)(e^x) + (x)(e^x)\right]

    Then simplify. If you are not comfortable using the product rule, you need to practice. It will be something you frequently use in calculus.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Graph Theory / Chromatic Number of a Complete Graph
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 15th 2011, 10:59 AM
  2. Replies: 7
    Last Post: August 5th 2011, 02:30 PM
  3. Replies: 0
    Last Post: September 25th 2010, 06:59 AM
  4. Graph Theory - Size of a Line Graph
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: July 26th 2010, 12:15 AM
  5. Replies: 1
    Last Post: February 15th 2009, 06:35 AM

Search Tags


/mathhelpforum @mathhelpforum