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Application of Rolle's Theorem for Closed Interval

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Please solve the problem to the specified answer and please provide as much explanation of each step as possible.

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's theorem can be applied, find all values of c in the open interval (a,b) such that f'(c) = 0.

f(x) = x^2 - 2x - 3/x + 2, [-1,3]

Answ: f'(-2 + square root of 5) = 0.

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This solution is comprised of a detailed explanation to determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's theorem can be applied, find all values of c in the open interval (a,b) such that f'(c) = 0.

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