Question: Suppose a continuous function f is concave up on (-, ) and (0, ). Assume f has a local maximum at x = 0. What,

Suppose a continuous function f is concave up on (-∞, ∞) and (0, ∞). Assume f has a local maximum at x = 0. What, if anything, do you know about f'(0)? Explain with an illustration.

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