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Page (7 of 9) Exercises:   1    2    3    4    5    6    7    8    9  
Exercise 7

For each given function f and interval, determine if Rolle's Theorem guarantees the existence of some c in that interval with f'(c) = 0. If not, explain why not.

  • f(x) = cos(x) on the interval (-π,3π) (yes, cos(x) is differentiable!)

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