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AP Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

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This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

  • Differentiation tools →

    Choose derivative rules for explicit, composite, inverse, and implicit functions while respecting domains.

Follow rates through nested functions, curves and inverse mappings; select coherent procedures and differentiate rates again.

Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.

Course outline · Teacher guidance

This unit includes the shared AB core explicitly inside the BC book, with BC extensions where required. Each shared topic links to its AB source.

  1. 3.1 The Chain Rule ↗
  2. 3.2 Implicit Differentiation ↗
  3. 3.3 Differentiating Inverse Functions ↗
  4. 3.4 Differentiating Inverse Trigonometric Functions ↗
  5. 3.5 Selecting Procedures for Calculating Derivatives ↗
  6. 3.6 Calculating Higher-Order Derivatives ↗
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