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2. Let f and g be functions which are differentiable on IR. For each of the following statements, determine if it is true or false.

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2. Let f and g be functions which are differentiable on IR. For each of the following statements, determine if it is true or false. If it is true, then prove it. If it is false, then give a counterexample (you must prove that it is indeed a counterexample). (b) If f'(3:) > sin(:~:) + 2 for all a: E IR, then there is no solution to the equation 61%) = 1. 0 True O False

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