1. Not finding help here? Sign up for a free 30min 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!

Solve |x-1|e^x

  1. Sep 28, 2005 #1
    Hi

    So Im a little confused about the absolute value sign here. Is the derivative right:

    [x-1/|x-1|]e^x + |x-1|e^x

    But what do I do when I set this to zero? Do I get two expressions, one for x>1 and one for x<1 ? (thus removing the absolute value signs)
     
  2. jcsd
  3. Sep 29, 2005 #2
    Hints anyone...?
     
  4. Sep 29, 2005 #3

    saltydog

    User Avatar
    Science Advisor
    Homework Helper

    [tex]|x-1|=x-1\quad\text{for}\quad x\geq 1[/tex]

    and:

    [tex]|x-1|=-(x-1)\quad\text{for}\quad x<1[/tex]

    Thus your expression represents this function:

    [tex]y(x)=
    \left\{
    \begin{array}{rcl}
    (x-1)e^x & \mbox{for} & x\geq 1 \\
    -(x-1)e^x & \mbox{for} & x<1
    \end{array}\right.
    [/tex]

    and so the derivative will represent two functions likewise but will not exist at x=1. Try plotting this conditional function and you'll see what I mean.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Solve |x-1|e^x
  1. Integrate 1/(1+e^x) (Replies: 12)

  2. Solving w e^x (Replies: 12)

Loading...