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Related rates modeling · AP Calculus AB · Courselo

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Calc AB
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Unit 4: Contextual applications of differentiation

Related rates modeling

Unit 4: Contextual applications of differentiation · Lesson 3 of 4

Lesson 3 of 4

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Unit 4

Unit 4: Contextual applications of differentiation

4 lessons · 6 h of study

Interpreting derivatives in context1 h 15 min of study
Motion along a line1 h 30 min of study
Related rates modelingReading · 0%
Local linearity and linearization1 h 15 min of study

This unit is ≈12% of the Calc AB, across 4 lessons. Full syllabus

Lesson 3 of 4 · Unit 4: Contextual applications of differentiation

Related rates modeling

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

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By the end you’ll be able to

Translate a geometric or physical situation into an equation relating variables.
Differentiate the related equation with respect to time.
Substitute known values at the specified instant to solve for an unknown rate.
Interpret the sign and units of the resulting rate in context.

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Adaptive questions on related rates modeling.

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Justify the setup used in a related-rates problem.

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PreviousMotion along a line Next lessonLocal linearity and linearization