Curated OER
Logarithmic Differentiation
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive worksheet contains eleven problems. Answers are included.
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
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...
Curated OER
Differentiation Quiz
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
Curated OER
Differentiation Quiz Form B
In this differentiation worksheet, students differentiate 10 functions in short answer format. Students differentiate trig, logarithmic, cubic, exponential, rational, and higher order functions.
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Curated OER
Logarithmic Differentiation
Young scholars engage in a lesson that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The lesson includes examples the teacher could use for...
Curated OER
Calculus Worksheet
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...
Curated OER
Differentiating Special Functions
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...
Curated OER
Math 155 - Worksheet 10. Logarithm
In this logarithm learning exercise, 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 learning...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Radford University
Mathematical Modeling: Lessons 2-3
Not all functions are created equal. Pupils apply regression analysis using polynomial, exponential, and logarithmic functions to investigate the relationship between variables and to decide which function would be best to model the...
Curated OER
Logarithmic Differentiation
Students analyze the steps required to take the derivative of an equation. In this calculus instructional activity, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine...
Curated OER
Transforming Univariate Data
Learners analyze plotted data in this statistics lesson. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
Rice University
Calculus Volume 1
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...
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Radford University
Earthquake Problem
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
Curated OER
Differentiation
In this college level calculus worksheet, students differentiate functions including logarithms and trigonometric functions. The two page worksheet contains twenty-six problems. Answers are not provided.
Curated OER
Challenge Discussion Sheet 9
In this limits worksheet, 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.
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
How Much Data is That?
Middle schoolers differentiate between exponential and logarithmic functions. In this algebra lesson, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
Curated OER
Will Exams Be Cancelled?
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson plan, young scholars use the TI to examine and differentiate between exponential...
Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.