14) use one of the theorems in this section to pro...

14) use one of the theorems in this section to prove thestatement in the problem given below:
If f ' (x) is less than or equal to 1 for all x and f (0)= 0, then f(x) is less than or equal to x for all x greaterthan or equal to 0.
            

The theorems in this section are:
Mean Value Theorem
increasing function theorem
constant function theorem
the racetrack principle ^3

this problem has to be solved by using one of the theorems listedaboveand not by using anti- derivative or any other method!pleasehelp!!!its very frustrating!thanks.

Answers ( 1 )

  1. herbert hall
    herbert hall
    i am trying to prove this b mean value theorem
    since f(0)=0 if x>0
    then by mean value theorem there exist
    such that
    since
    so

    where

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