Question: Let be differentiable on the closed interval [a, b] such that '(a) = y and '(b) = y. If d lies between y 1

Let ƒ be differentiable on the closed interval [a, b] such that ƒ'(a) = y₁ and ƒ'(b) = y₂. If d lies between y1, and y2, then there exists c in (a, b) such that ƒ'(c) = d.

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