Non-Periodicity of a Differentiable Function with a Non-Vanishing Derivative
Let $\mathbb{R}\to\mathbb{R}$ be a differentiable function. Assume that $f’$ does not vanish. Show that $f$ cannot be periodic.
Show Answer:Let $\mathbb{R}\to\mathbb{R}$ be a differentiable function. Assume that $f’$ does not vanish. Show that $f$ cannot be periodic.
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