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Unit 4 of 10

Contextual Applications of Differentiation

This unit focuses on interpreting derivatives in real-world and applied contexts. Students connect derivatives to motion, related rates, linear approximation, and indeterminate limits using L’Hospital’s Rule.

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UnitsLessons
  1. 01Limits and Continuity16
  2. 02Differentiation: Definition and Basic Derivative Rules10
  3. 03Differentiation: Composite, Implicit, and Inverse Functions6
  4. 04Contextual Applications of Differentiation7
  5. 05Analytical Applications of Differentiation12
  6. 06Integration and Accumulation of Change14
  7. 07Differential Equations9
3 more units in the course outline
Units of AP® Calculus BC

Lessons

7 lessons in this unit

  1. 4.1Interpreting the Meaning of the Derivative in ContextPreview lesson
  2. 4.2Straight-Line Motion: Connecting Position, Velocity, and AccelerationPreview lesson
  3. 4.3Rates of Change in Applied Contexts Other Than MotionPreview lesson
  4. 4.4Introduction to Related RatesPreview lesson
  5. 4.5Solving Related Rates ProblemsPreview lesson
  6. 4.6Approximating Values of a Function Using Local Linearity and LinearizationPreview lesson
  7. 4.7Using L’Hospital’s Rule for Determining Limits of Indeterminate FormsPreview lesson

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