I am stuck on figuring out why the following function is a increasing function when I read a paper. The function is following
where where
, and the independent variable x is on interval
.
I have plotted the function curves of f(x) with different c by the following, and found that it seems to be monotonic function. However, it is too hard to me to prove it.
The first derivative of f(x) is by the following:
where where
I have plotted the function curves of f(x) with different c by the following, and found that it seems to be monotonic function. However, it is too hard to me to prove it.
The first derivative of f(x) is by the following: