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AP Calculus AB/BC
Unit 5 – Analytical Applications of Differentiation
Topic 5.7
If the second derivative is positive for all x-values in a given interval, then:
The Second Derivative Test cannot be applied.
The function has a relative minimum in that interval.
The function is increasing in that interval.
The function is decreasing in that interval.
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AP Calculus AB/BC - 5.7 Using the Second Derivative Test to Determine Extrema
Key terms
Second Derivative
Positive
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About Fiveable
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Resources
Cram Mode
AP Score Calculators
Study Guides
Practice Quizzes
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Crisis Text Line
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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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