Question: LEARNING OBJECTIVE: Graphically and using derivatives, find the values guaranteed to exist by Rolle's theorem. Determine if the requirements for Rolle's theorem are met

LEARNING OBJECTIVE: Graphically and using derivatives, find the values guaranteed to exist by Rolle's theorem. Determine if the requirements for Rolle's theorem are met by the function f(x) = -x+27x-5 on the interval [ 1, 4]. If so, - find the values of c in (- 1, 4) guaranteed by the theorem.

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