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Define the continuous function

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Reference no: EM131603976

Question: 1. If x = p is not a local maximum of f, then x = p is not a critical point of f.

2. If f'(p) = 0, then f(x) has a local minimum or local maximum at x = p.

3. If f'(x) is continuous and f(x) has no critical points, then f is everywhere increasing or everywhere decreasing.

Reference no: EM131603976

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