How can prove or disprove that bounded smooth functions have a bounded derivative ? For example cosinx is bounded and smooth and has bounded derivative . I can’t think of a proof to show that the claim is true ,nor can I think of a counterexample. Even a hint would be very useful .
2026-03-26 20:25:45.1774556745
How can prove or disprove that bounded smooth functions have a bounded derivative?
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