Can you apply the Mean Value Theorem to on the interval [- 1, 1] ? Why ?
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0 marksMathematicsLimits, continuity and differentiabilityMean value theorem and Rolle's theoremModerateabout 1 min
JNU SIS 2020 Question 37: Limits, continuity and differentiability
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Can you apply the Mean Value Theorem to f(x) = x^(1/3) on the interval [- 1, 1]? Why? (A) Yes, as f (x) is continuous in this interval (B) No, since f (x) is not differentiable on (- 1, 1) (C) No, since f (x) is not continuous on [- 1, 1] (D) Yes, as f (x) is continuous in [- 1, 1] and differentiable in (- 1, 1)
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What this question tests
This question is on Mean value theorem and Rolle's theorem, part of Limits, continuity and differentiability in Mathematics.
Results linking the average rate of change to a derivative at some point.
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