6.5 Logarithmic Functions. — Lecture videos with pictures and simplified examples.

Skip to Content

Contents Calculus I

2.1 The Tangent and Velocity Problems.

2.2 The Limit of a Function.

2.3 Calculating Limits Using the Limit Laws.

2.4 The Precise Definition of a Limit.

2.6 Limits at Infinity; Horizontal Asymptotes.

2.7 Derivatives and Rates of Change.

2.8 The Derivative as a Function

3.1 Derivatives of Polynomials and Exponential Functions.

3.2 The Product and Quotient Rules.

3.3 Derivatives of Trigonometric Functions.

3.4 The Chain Rule.

3.5 Implicit Differentiation.

College Algebra

1.1 Real Numbers: Algebra Essentials

1.2 Exponents and Scientific Notation.

1.3 Radicals and Rational Exponents.

1.4 Polynomials.

1.5 Factoring Polynomials.

1.6 Rational Expressions.

2.1 Solve Linear Equations in One Variable.

2.2 Solve Linear Equations in Two Variable.

2.3 Slope of a Line.

2.4 Find the Equation of a Line.

2.5 Quadratic Equations.

2.6 Other Types of Equations.

2.7 Linear Inequalities and Absolute Value Inequalities.

3.1 Functions and Function Notation.

3.2 Domain and Range.

3.3 Rates of Change and Behavior of Graphs.

3.4 Composition of Functions

3.5 Inverse Functions

3.6 Transformation of Functions.

3.7 Absolute Value Functions.

4.1 Modeling with Linear Functions.

4.2 System of Linear Functions: Two Variables.

4.3 Solve Applications with Systems of Equations

5.1 Quadratic Functions.

5.2 Power Functions and Polynomial Functions.

5.3 Graphs of Polynomial Functions.

5.4 Rational Functions.

5.5 Modeling Using Variation.

6.1 Graphs of Exponential Functions.

6.2 Exponential Functions.

6.3 Compound Interest and Continuous Exponential Functions.

6.4 Graphs of Logarithmic Functions.

6.5 Logarithmic Functions.

6.6 Logarithmic Properties.

6.7 Exponential and Logarithmic Equations.

6.8 Exponential and Logarithmic Models.

Useful Websites

Math Reasoning for Elementary Teachers

Calculus I Contents and Links to videos

Calculus I Videos

Contents Calculus I

2.1 The Tangent and Velocity Problems.

2.2 The Limit of a Function.

2.3 Calculating Limits Using the Limit Laws.

2.4 The Precise Definition of a Limit.

2.6 Limits at Infinity; Horizontal Asymptotes.

2.7 Derivatives and Rates of Change.

2.8 The Derivative as a Function

3.1 Derivatives of Polynomials and Exponential Functions.

3.2 The Product and Quotient Rules.

3.3 Derivatives of Trigonometric Functions.

3.4 The Chain Rule.

3.5 Implicit Differentiation.

College Algebra

1.1 Real Numbers: Algebra Essentials

1.2 Exponents and Scientific Notation.

1.3 Radicals and Rational Exponents.

1.4 Polynomials.

1.5 Factoring Polynomials.

1.6 Rational Expressions.

2.1 Solve Linear Equations in One Variable.

2.2 Solve Linear Equations in Two Variable.

2.3 Slope of a Line.

2.4 Find the Equation of a Line.

2.5 Quadratic Equations.

2.6 Other Types of Equations.

2.7 Linear Inequalities and Absolute Value Inequalities.

3.1 Functions and Function Notation.

3.2 Domain and Range.

3.3 Rates of Change and Behavior of Graphs.

3.4 Composition of Functions

3.5 Inverse Functions

3.6 Transformation of Functions.

3.7 Absolute Value Functions.

4.1 Modeling with Linear Functions.

4.2 System of Linear Functions: Two Variables.

4.3 Solve Applications with Systems of Equations

5.1 Quadratic Functions.

5.2 Power Functions and Polynomial Functions.

5.3 Graphs of Polynomial Functions.

5.4 Rational Functions.

5.5 Modeling Using Variation.

6.1 Graphs of Exponential Functions.

6.2 Exponential Functions.

6.3 Compound Interest and Continuous Exponential Functions.

6.4 Graphs of Logarithmic Functions.

6.5 Logarithmic Functions.

6.6 Logarithmic Properties.

6.7 Exponential and Logarithmic Equations.

6.8 Exponential and Logarithmic Models.

Useful Websites

Math Reasoning for Elementary Teachers

Calculus I Contents and Links to videos

Calculus I Videos

Folder: Calculus I

Contents Calculus I

2.1 The Tangent and Velocity Problems.

2.2 The Limit of a Function.

2.3 Calculating Limits Using the Limit Laws.

2.4 The Precise Definition of a Limit.

2.6 Limits at Infinity; Horizontal Asymptotes.

2.7 Derivatives and Rates of Change.

2.8 The Derivative as a Function

3.1 Derivatives of Polynomials and Exponential Functions.

3.2 The Product and Quotient Rules.

3.3 Derivatives of Trigonometric Functions.

3.4 The Chain Rule.

3.5 Implicit Differentiation.

Folder: College Algebra

1.1 Real Numbers: Algebra Essentials

1.2 Exponents and Scientific Notation.

1.3 Radicals and Rational Exponents.

1.4 Polynomials.

1.5 Factoring Polynomials.

1.6 Rational Expressions.

2.1 Solve Linear Equations in One Variable.

2.2 Solve Linear Equations in Two Variable.

2.3 Slope of a Line.

2.4 Find the Equation of a Line.

2.5 Quadratic Equations.

2.6 Other Types of Equations.

2.7 Linear Inequalities and Absolute Value Inequalities.

3.1 Functions and Function Notation.

3.2 Domain and Range.

3.3 Rates of Change and Behavior of Graphs.

3.4 Composition of Functions

3.5 Inverse Functions

3.6 Transformation of Functions.

3.7 Absolute Value Functions.

4.1 Modeling with Linear Functions.

4.2 System of Linear Functions: Two Variables.

4.3 Solve Applications with Systems of Equations

5.1 Quadratic Functions.

5.2 Power Functions and Polynomial Functions.

5.3 Graphs of Polynomial Functions.

5.4 Rational Functions.

5.5 Modeling Using Variation.

6.1 Graphs of Exponential Functions.

6.2 Exponential Functions.

6.3 Compound Interest and Continuous Exponential Functions.

6.4 Graphs of Logarithmic Functions.

6.5 Logarithmic Functions.

6.6 Logarithmic Properties.

6.7 Exponential and Logarithmic Equations.

6.8 Exponential and Logarithmic Models.

Useful Websites

Math Reasoning for Elementary Teachers

Calculus I Contents and Links to videos

Calculus I Videos

Ch 6: Exponential and logarithmic Functions.

6.5 Logarithmic Functions.

Logarithms and Logarithmic Functions.