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Homework Help: 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
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