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If a function has a local extremum at a point, that point must be a:

AConstant point
BCritical point
CCorner point
DCusp point
Answer & Solution
Correct answer: B. Critical point
1. At a smooth peak or trough the tangent is horizontal. 2. Where the graph turns sharply the derivative fails to exist. 3. Either way the point must be a critical point. _Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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