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!

Increasing functions

  1. Nov 24, 2008 #1
    1. The problem statement, all variables and given/known data

    Let f : R(real numbers) (arrow) (0,infinity) have the property that f ' (x) = f (x) for all x. Show that f is an increasing functions for all x.

    2. Relevant equations

    3. The attempt at a solution

    I know that if f ' (x) > 0 , where all of x belongs to a,b (not bounded) then f is strictly increasing on [a,b].

    So i need to show that f(x) > 0 maybe?

    Any help/guidelines would be much appreciated.
  2. jcsd
  3. Nov 24, 2008 #2
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Increasing functions
  1. Increasing functions (Replies: 8)

  2. Increasing function (Replies: 5)

  3. Increasing Function (Replies: 1)