Assume that f is a differentiable function defined on all of the real line.Is it possible that f > 0 everywhere, f ' > 0 everywhere, and f ' < 0 everywhere?

Question

Quizplus · Accepted Answer

If f' > 0 everywhere, f is increasing everywhere. If f'' < 0 everywhere, f' is decreasing everywhere. These conditions cannot simultaneously hold for a function that is positive everywhere.

Assume That F Is a Differentiable Function Defined on All