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Martin Sleziak
Martin Sleziak
8:00 AM
specific-tag specific-question It's quite likely that the question is going to be closed and deleted. But it is at least an opportunity to remind that the tag derivations has a bit unclear usage. Is it suitable here: Does $f \leq f'$ imply $f' \leq f''$?
-1
Q: Does $f \leq f'$ imply $f' \leq f''$?

Dominic van der ZypenGiven $f,g:\mathbb{R}\to\mathbb{R}$ we write $f\leq g$ if $f(x) \leq g(x)$ for all $x\in\mathbb{R}$. Is there a function $f:\mathbb{R}\to\mathbb{R}$ such that $f'$ and $f''$ exist and we have $f'(x) \geq 0$ for all $x\in\mathbb{R}$, $f \leq f'$, but $f' \not \leq f''$?

real-analysis derivations
I am not sure whether the tag (derivations) was intended for questions about derivatives. Perhaps (differential-calculus) and (inequalities) would be more suitable here? — Martin Sleziak 1 min ago
 

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