2. Let a < b and let f be a function defined on [a, b]. Suppose that f is continuous on [a, b] and f is differentiable on (a, b). (a) Letr [a, b) and let h> 0 be such that a+h≤b. Prove that there is € (0, 1) such that: f(x+h)-f(x) h Hint: x, h are fixed here. Define a new function and apply the MVT to this new function. = f'(x + 0h) =

2. Let a < b and let f be a function defined on [a, b]. Suppose that f is continuous on [a, b] and f is differentiable on (a, b). (a) Letr [a, b) and let h> 0 be such that a+h≤b. Prove that there is € (0, 1) such that: f(x+h)-f(x) h Hint: x, h are fixed here. Define a new function and apply the MVT to this new function. = f'(x + 0h) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 63E

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