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    Proof: Differentiability

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    Suppose f(b) = f'(b) = 0 and a < b. Show that if f''(x) ≥ 0 for x є [a,b], then f(x) ≥ 0 for x є [a,b].

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    Solution Preview

    First we note that if f''(x) ≥ 0 for x є [a,b] then f'(x) is NON-DECREASING for x є [a,b] ...

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    A differentiability proof is provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.