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Optimization with derivatives · AP Calculus AB · Courselo

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Calc AB
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Unit 5: Analytical applications of differentiation

Optimization with derivatives

Unit 5: Analytical applications of differentiation · Lesson 5 of 5

Lesson 5 of 5

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Unit 5

Unit 5: Analytical applications of differentiation

5 lessons · 8 h 30 min of study

Extrema and critical points1 h 30 min of study
Mean Value Theorem and related results1 h 15 min of study
First-derivative analysis1 h 45 min of study
Second-derivative analysis and curve sketching2 h of study
Optimization with derivativesReading · 0%

This unit is ≈17% of the Calc AB, across 5 lessons. Full syllabus

Lesson 5 of 5 · Unit 5: Analytical applications of differentiation

Optimization with derivatives

3 quick checks≈4% of the testStretch: Stretch: harder material that separates the top grades

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By the end you’ll be able to

Define variables and write an objective function for an optimization problem.
Use a constraint to express the objective in one variable.
Differentiate the objective and locate critical points.
Justify that the selected value gives the required maximum or minimum.

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Adaptive questions on optimization with derivatives.

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State the result in context with appropriate units.

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