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Describe what having a derivative of zero means conceptually. Describe what having a second derivative of zero means conceptually. Describe a point of inflection

Describe what having a derivative of zero means conceptually. Describe what having a second derivative of zero means conceptually. Describe a point of inflection conceptually. Can a point of inflection be a zero of the function? Explain how you know. Can a point of inflection be a zero of the derivative? Explain how you know.

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