Unit 02 - Differentiation: Definition and Basic Rules

Concept Index

DefinitionEstimationDifferentiability and ContinuityRules

• 2.1 Defining Average and Instantaneous Rates of Change
• 2.2 Defining the Derivative of a Function and Using Derivative Notation

• 2.3 Estimating Derivatives of a Function at a Point

• 2.4 Connecting Differentiability and Continuity

• 2.5 Applying the Power Rule
• 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple
• 2.7 Derivatives of \(\cos x\), \(\sin x\), \(e^x\), and \(\ln x\)
• 2.8 The Product Rule
• 2.9 The Quotient Rule
• 2.10 Derivatives of \(\tan x\), \(\cot x\), \(\sec x\), and \(\csc x\)