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Local linearity and linearization · AP Calculus AB · Courselo

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Calc AB
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Unit 4: Contextual applications of differentiation

Local linearity and linearization

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

Lesson 4 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 modeling2 h of study
Local linearity and linearizationReading · 0%

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

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

Local linearity and linearization

3 quick checks≈3% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Construct the linearization of a differentiable function at a point.
Use linearization to approximate a function value near the point of tangency.
Compare exact and approximated values when both are available.
Explain local linearity in graphical or contextual terms.

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Adaptive questions on local linearity and linearization.

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