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AP Calculus AB/BC
Unit 5 – Analytical Applications of Differentiation
Topic 5.2
Can a local extremum be a global extremum?
Yes, but only if the local extremum occurs at x = 0.
No, a local extremum can never be a global extremum.
Yes, but only if the local extremum occurs at x = 1.
Yes, a global extremum is also a local extremum.
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AP Calculus AB/BC - 5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
Key terms
Global Extremum
Local Extremum
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About Fiveable
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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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