Unit 2 Topics (College Board AP® Calculus AB): Revision Note

2.1

Defining Average and Instantaneous Rates of Change at a Point

• Average Rate of Change

• Instantaneous Rate of Change

2.2

Defining the Derivative of a Function and Using Derivative Notation

• Derivatives & Tangents

2.3

Estimating Derivatives of a Function at a Point

• Estimating the Derivative at a Point

2.4

Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

• Differentiability & Continuity

2.5

Applying the Power Rule

• Derivative Rules

2.6

Derivative Rules: Constant, Sum, Difference, and Constant Multiple

• Derivative Rules

2.7

Derivatives of cos x, sin x, e^x, and ln x

• Derivatives of Exponentials and Logarithms

• Derivatives of Sine and Cosine Functions

2.8

The Product Rule

• The Product Rule

2.9

The Quotient Rule

• The Quotient Rule

2.10

Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

• Derivatives of Tangent and Reciprocal Trig Functions