Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra instructional activity, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Curated OER
Math Handbook: Calculus
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...
Curated OER
The Integration of Exponential Functions
In this calculus learning exercise, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Curated OER
Oodles of Poodles
Students solve equations by graphing. In this algebra instructional activity, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
Curated OER
Exponential vs. Power
Pupils differentiate between exponential and power functions. They identify the base, exponent and properties of exponential functions. They also graph the functions using the TI calculator.
Achieve
Spread of Disease
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...
Radford University
Sleep and Teen Obesity: Is there a Correlation?
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...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive instructional activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the...
Curated OER
Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Curated OER
Calculating Arc Lengths of Simple Functions-I
For this calculating arc lengths worksheet, students 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.
Curated OER
Integrating Functions
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.
Mathematics Archives
Math Archives: Logarithmic Differentiation
Practice evaluating the derivatives of expressions using logarithmic differentiation.
Paul Dawkins
Paul's Online Notes: Logarithmic Differentiation
Online notes with examples and solutions.
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Derivative Properties
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...
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Other
Humboldt State University: Natural Logarithm
Wonderful natural logarithm site from the Humboldt State University with example problems.
Texas Instruments
Texas Instruments: Approximate Solutions: Differential Equations
The base of the natural logarithm function, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See "before the activity.")
Interactive Mathematics
Interactive Mathematics: Derivatives of Logarithmic Functions
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.
University of California
University of California, Davis: The Calculus Page
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
University of California
University of California: Logarithmic Differentation
Online notes with examples and solutions.
Hofstra University
Hofstra University: Calculus Applied to the Real World
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Math Words
Math Words: Derivative Rules
This site offers fourteen rules for differentiation-- anything from a constant function to logarithmic functions.