Business Calculus Features of this eText Hundreds of Worked-Out Example Problems with written and/or video explanations Short Mini Lesson Videos to help with learning key concepts in a fraction of the time Key takeaways and written content after each mini lesson video to deepen understanding Adopt this eText Check It Out Below! Course Content Expand All Functions Functions Fundamentals 3 Topics Expand Lesson Content 0% Complete 0/3 Steps Functions and Their Representations: Potato Diagrams, Tables, Graphs, and Rules Drawing Graphs by Point-Plotting Function Domains, Codomains, and Ranges PRAXIS: Functions Fundamentals Linear Functions 2 Topics Expand Lesson Content 0% Complete 0/2 Steps Graphing Lines Finding Equations of Lines Quadratic and Polynomial Functions 2 Topics Expand Lesson Content 0% Complete 0/2 Steps Quadratic Functions and Their Graphs Polynomials and Degree PRAXIS: Linear, Quadratic, and Polynomial Functions Exponential Functions 2 Topics Expand Lesson Content 0% Complete 0/2 Steps Exponential Functions: What They Are, and How to Evaluate Them Graphing (Simple) Exponential Functions Logarithmic Functions 3 Topics Expand Lesson Content 0% Complete 0/3 Steps Logarithmic Functions: What They Are, and How to Evaluate Them Change-of-Base Formula and Computing Logs with a Calculator Graphing (Simple) Logarithmic Functions Constructing New Functions From Old Ones 4 Topics Expand Lesson Content 0% Complete 0/4 Steps Basic Function Arithmetic Using Function Rules, and Numerical Substitutions Function Arithmetic: Using Tables to Evaluate Various Combinations of Functions at a Given Value Function Arithmetic: Using Graphs to Evaluate Various Combinations of Functions at a Given Value Piecewise Functions PRAXIS: Exponential Functions, Logarithms, and Building New Functions From Old Solving Equations with Functions 3 Topics Expand Lesson Content 0% Complete 0/3 Steps The Guess and Check Method for Solving Equations Solving Equations Using Graphs Algebraically Solving Equations PRAXIS: Solving Functional Equations Limits and Derivatives Limits – An Overview Left, Right, and Two-Sided Limits 3 Topics Expand Lesson Content 0% Complete 0/3 Steps Finding Limits Using Graphs Guessing Limits Using Tables Finding Limits Of Polynomials PRAXIS: Limits The Derivative as a Limit of an Average Rate of Change 4 Topics Expand Lesson Content 0% Complete 0/4 Steps Average Rates of Change Finding Derivatives as a Limit of an Average Rate of Change The h-Form of the Derivative and Finding Tangent Lines The Derivative as a Function PRAXIS: Derivatives Basics Basic Derivative Rules 6 Topics Expand Lesson Content 0% Complete 0/6 Steps Deriving Polynomials Using the Power Rule and Simple Derivative Properties Derivatives of Exponential Functions of the Form \(c\cdot e^x\) Product Rule Quotient Rule Chain Rule Derivatives of Logarithmic Functions Finding Derivatives Using Several Different Rules PRAXIS: Derivative Rules Applications of Differentiation Extrema: Finding Minima and Maxima 3 Topics Expand Lesson Content 0% Complete 0/3 Steps Finding Extrema by Graphing First Derivative Test for Finding Local Mins and Maxes First Derivative Test and Global Mins and Maxes PRAXIS: Extrema Concavity, Inflection Points, and the Second Derivative Test 3 Topics Expand Lesson Content 0% Complete 0/3 Steps Concavity and Inflection Points With Graphs Concavity and Inflection Points Without Graphs Second Derivative Test for Classifying Critical Points PRAXIS: Concavity, Inflection Points, and Second Derivative Test Optimization Applications PRAXIS: Optimization Applications Integration Antiderivatives and Basic Rules for Such 2 Topics Expand Lesson Content 0% Complete 0/2 Steps The Power Rule for Antiderivatives Initial Value Problems: Solving for C The U-Substitution Method 3 Topics Expand Lesson Content 0% Complete 0/3 Steps How the Method Works Using U-Sub with Exponential Functions Antiderivatives that Result in Logarithms PRAXIS: Antiderivatives Area, Continuous Accumulation, and Definite Integrals 3 Topics Expand Lesson Content 0% Complete 0/3 Steps What Integrals Are and the Fundamental Theorem of Calculus Computing Integrals Involving U-Substitution Areas Between Curves Average Value of a Function, and Moving Averages 2 Topics Expand Lesson Content 0% Complete 0/2 Steps Finding a Function’s Average Value Using Integrals Moving Averages PRAXIS: Area, Continuous Accumulation, and Definite Integrals Compound Interest and Continuous Compounding 2 Topics Expand Lesson Content 0% Complete 0/2 Steps Compound Interest – Multiplying Your Money The Natural Exponential Function and Continuous Compounding Future Value of Income Streams PRAXIS: Applications of Integration – Compound Interest and Future Value of Income Streams
