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Topic 5.4 · Using the First Derivative Test to Determine Relative (Local) Extrema

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AP Calculus AB · Topic 5.4: Using the First Derivative Test to Determine Relative (Local) ExtremaOpen topic

Practice question

Original PrepAtlas question. This is not an official College Board question.

Use the derivative sign table below. If f is continuous at −2 and 3, what does the First Derivative Test establish?
Signs of the derivative of a continuous function f, differentiable away from the listed critical inputs.
IntervalSign of f′
x<−2positive
−2<x<3negative
x>3positive
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