# Answer on Real Analysis Question for shah

Question #19641

Let I:=[a,b] and let f: I→R be differentiable at c ∈ I. Show that for every ϵ >0 there exists δ>0 such that if 0<|x-y|<δ and a ≤x ≤c ≤y ≤b, then |[((f(x)-f(y))/(x-y)] -f '(c)|<ϵ.

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