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AP Calculus AB/BC
Unit 2 – Fundamentals of Differentiation
Topic 2.4
If a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), which of the following statements is true?
The function must have a local maximum or minimum in the interval (a, b)
The function must be linear on the interval [a, b]
The function must have a discontinuity at one or both endpoints, a and b
The function must be constant on the interval [a, b]
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AP Calculus AB/BC - 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
Key terms
Closed Interval
Continuous
Differentiable
Open Interval
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Cram Mode
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© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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