Suppose that f and t are continuous on fa, bg and differentiable on sa, bd. Suppose also

Chapter 4, Problem 28

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Suppose that f and t are continuous on fa, bg and differentiable on sa, bd. Suppose also that fsad tsad and f9sxd , t9sxd for a , x , b. Prove that fsbd , tsbd. [Hint: Apply the Mean Value Theorem to the function h f 2 t.]

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