Determine whether the following statements are true and give an explanation or counterexample. a. The continuous function

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Determine whether the following statements are true and give an explanation or counterexample.

a. The continuous function f(x) = 1 - |x| satisfies the conditions of the Mean Value Theorem on the interval [-1, 1].

b. Two differentiable functions that differ by a constant always have the same derivative.

c. If f'(x) = 0, then f(x) = 10.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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