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The second derivative f"(x) can be used to determine the concavity and the points of inflection of f(x). If f"(x) is positive, then the graph of f(x) is concave up. If f"(x) is negative, then f(x) is concave down. If f"(x) is equal to zero, then f(x) has a point of inflection at that point.

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Q: What is the second derivative used for?
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