physical significance of the roles theorem
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Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.
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It can be used as a predictor or a mathematical tool.
- As per the theorem, essentially, every real-valued differentiable function that equalizes at two locations must have at least one stationary point someplace.
- The theorem may be used as a predictor in a variety of situations. For example, when the sped in a particular curve was maximal without differentiation.
- it can also be used to analyze graphs of a company's annual performance. Alternatively, it may be utilized as a mathematical tool to solve other issues.
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