8. Let f be twice differentiable on (a, b) and let there be points Xl < X2

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8. Let f be twice differentiable on

(a,

b) and let there be points Xl < X2 < X3 in

(a,

b) such that f(xd > f(X2) and f(X3) > f(X2). Prove that there is a point c E

(a,

b) such that f"

(c) > O.

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