nice problem.
by hemangsarkar, Oct 2, 2012, 7:43 PM
let 
be a differentiable function such that
for all real
and 
. also 
find the value of of the following -
1)
2) the range of
be a differentiable function such that
for all real
and 
. also 
find the value of of the following -
1)
2) the range of
for all 
.
where 
is some constant.
.
.
in 
we get
.
![$\left[\frac{-2}{e},\infty \right]$](http://latex.artofproblemsolving.com/2/8/0/2803a557cdb52e4781dd8c4c3e7241807e9342fb.png)
.
November 2016
June 2016