Table of Contents Last updated Save as PDF Page ID8675 1: Limit1.1: Concept of Limit1.2: Evaluate Limits Using Graphs1.3: Evaluate Limits Using Tables1.4: Limits of Composite Functions1.5: Evaluate Limits Using Substitution1.6: Properties of Limit2: Limit - Types of Limits2.1: One-Sided Limit Types2.2: Infinite Limit Type2.3: Limits of Polynomial and Rational Functions2.4: Basic Trigonometric Limits2.5: Limits Involving Radical Functions3: Limits - Continuity3.1: Continuity of a Function3.2: Continuity at a Point, Continuity Test, Types of Discontinuity3.3: Intermediate Value Theorem, Existence of Solution3.4: Find Imaginary Solutions4: Differentiation - Slope Models using Derivatives4.1: Average and Instantaneous Rates of Change4.2: Slope of Tangent Line4.3: Tangent Line Approximation5: Differentiation - Differentiation Rules and Formulas5.1: Constant, Identity, and Power Rules5.2: Sum and Difference Differentiation Rules5.3: Products and Quotients Differentiation Rules5.4: Derivatives of Trigonometric Functions5.5: Chain Rule5.6: Implicit Differentiation6: Differentiation - Multi-Step Differentiation6.1: Higher Order Derivatives6.2: Related Rates6.3: Derivatives of Exponential Functions7: Differentiation - Increasing and Decreasing Values and Extrema7.1: Derivatives with Mean Value Theorem and Rolle's Theorem7.2: Absolute versus Local Extrema7.3: First Derivative Test7.4: Second Derivative Test7.5: Concavity and Inflection8: Differentiation - Derivative Applications8.1: Absolute Extrema and Optimization8.2: Newton's Method8.3: Analyzing the Graphs of Functions9: Integral - Area Computation9.1: Area Under the Curve9.2: Antiderivative9.3: Area Sums9.4: Probability and Probability Density Functions9.5: Trapezoidal and Midpoint Approximations9.6: Reimann SumsBack MatterIndexGlossary