Interactive
Curated OER

Logarithmic Differentiation

For Students 12th
In this calculus learning exercise, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive learning exercise contains eleven...
Interactive
CK-12 Foundation

Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
Worksheet
Curated OER

Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
Worksheet
Curated OER

Math 155 - Worksheet 10. Logarithm

For Students Higher Ed
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Worksheet
Curated OER

Differentiation

For Students Higher Ed
In this college level calculus learning exercise, students differentiate functions including logarithms and trigonometric functions.  The two page learning exercise contains twenty-six problems.  Answers are not provided. 
Worksheet
Curated OER

Challenge Discussion Sheet 9

For Students Higher Ed
In this limits activity, students evaluate five limits using limit definitions. They solve differential equations by isolating one variable. Students determine the dimensions of a rectangle inscribed below the graph of a curve.
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Unit Plan
Radford University

Sleep and Teen Obesity: Is there a Correlation?

For Students 10th - 12th Standards
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, learners are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Unit Plan
Mathematics Archives

Math Archives: Logarithmic Differentiation

For Students 10th - 12th
Practice evaluating the derivatives of expressions using logarithmic differentiation.
Handout
Paul Dawkins

Paul's Online Notes: Logarithmic Differentiation

For Students 10th - 12th
Online notes with examples and solutions.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Derivative Properties

For Students 9th - 10th
The tutorial examines various derivative facts, formulas, and properties. Topics discussed are the definition of derivative, implicit differentiation, logarithmic differentiation, chain rule, and power rule. Class notes, proofs, and...
Activity
Analyze Math

Analyze Math: Differentiation of Logarithmic Functions

For Students 9th - 10th Standards
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Activity
Other

Humboldt State University: Natural Logarithm

For Students 9th - 10th Standards
Wonderful natural logarithm site from the Humboldt State University with example problems.
Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Logarithmic Functions

For Students 9th - 10th
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas

For Students 9th - 10th Standards
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
Handout
University of California

University of California: Logarithmic Differentation

For Students 10th - 12th
Online notes with examples and solutions.