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Second Derivatives and Beyond
Second Derivatives and Beyond
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No Concavity

If " is positive, then f is concave up. If " is negative, then f is concave down. If " is zero, we say that the function f has no concavity. It's flat. Pancakes can survive in a world of no concavity. When a function has no concavity, it means f doesn't curve at all. It's a straight line:

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