How does one prove that a real valued periodic, continuously differentiable function $f(x)$ such that $$f(x)+f'(x)\geq 0$$ must be non negative? I have no counterexample, but do not know how to prove this with the Mean Value theorem.
2026-03-29 23:45:23.1774827923
Periodic function such that $f(x)+f'(x)\geq 0$ is non-negative.
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