Question

What is the purpose of mean value theorem?

Answer 1

The mean value theorum States that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b)such that f'(c)is equal to the function's average rate of change over [a,b]

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Answer 2

The purpose of mean value theorem guarantees the existence of the point.