Hmmm....try m = 2lookagain said:Let \(\displaystyle m\) belong to the set of real numbers. Prove for \(\displaystyle \ \ m \le -0.8:\)
\(\displaystyle 2^m < m^2\)
Let \(\displaystyle m\) belong to the set of real numbers. Prove for \(\displaystyle \ \ m \le -0.8:\)
\(\displaystyle 2^m < m^2\)
f=2^m, f'=(ln2)f -> increasing on m<-0.8
g=mm, What!? \(\displaystyle g = m^2\)
g'=3m ->What!? g' = 2m
decreasing on m<-0.8
f=g at m=-0.77 . . . No, \(\displaystyle m \approx -0.77\)
\(\displaystyle At \ \ m \ = -0.77, \ \ 2^m \ < \ m^2.\)
Make the changes, don't make excuses, and move on.
** If you hadn't typed mm for m squared to begin with, I would anticipate that you would
have calculated the derivative correctly. As it is, as long as you continue to type it that way,
you're needlessly inviting error in judgment.