Question: Assume that is continuous on [a, b] and differentiable on (a, b). Also assume that (a) and (b) have opposite signs and that

Assume that ƒ is continuous on [a, b] and differentiable on (a, b). Also assume that ƒ(a) and ƒ(b) have opposite signs and that ƒ′ ≠ 0 between a and b. Show that ƒ(x) = 0 exactly once between a and b.

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