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AP Unit 2: Differentiation: Definition and Fundamental Properties

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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:

Build derivatives from limiting rates, connect them to tangent lines, then use justified derivative rules with domains intact.

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

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  1. 2.1 Defining Average and Instantaneous Rates of Change at a Point ↗
  2. 2.2 Defining the Derivative of a Function and Using Derivative Notation ↗
  3. 2.3 Estimating Derivatives of a Function at a Point ↗
  4. 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist ↗
  5. 2.5 Applying the Power Rule ↗
  6. 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple ↗
  7. 2.7 Derivatives of cos x, sin x, e^x, and ln x ↗
  8. 2.8 The Product Rule ↗
  9. 2.9 The Quotient Rule ↗
  10. 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions ↗
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