Find critical numbers of f(x)=x³−3x.
Use the lesson example and name the rule before calculating.
Unit 08 · Foundation Pathway
Analytical Applications & Optimization
How do derivatives reveal increasing behavior, extrema, shape, and optimal decisions?
Khaemenes Academy · Calculus I
Foundation Practice
Analytical Applications & Optimization · Show reasoning, notation, intervals, units, and corrections.
Name
Date
State the Mean Value Theorem conclusion.
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Where is the same function increasing?
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Why are endpoints checked for absolute extrema?
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Where is the graph concave up?
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Where is the same function increasing?
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State the Mean Value Theorem conclusion.
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Find f''(x) for f(x)=x³−3x.
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Find critical numbers of f(x)=x³−3x.
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State the Mean Value Theorem conclusion.
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Find the width that maximizes that area.
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What should the final answer report?
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