Derivatives of Exponential Function Teacher Resources
Find Derivatives of Exponential Function educational ideas and activities
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Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. For this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a worksheet.
Students graph functions and their inverse. In this graphing functions and their inverse lesson, students plot a point and its' image. Students plot the exponential and logarithm functions. Students find the slope of the function and its inverse by taking the derivative.
Derivatives of Elementary Functions
In this derivatives learning exercise, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
Math 155 - Worksheet 5. Derivative
In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet contains five multi-step problems.
In this exponential model activity, students read word problems, draw models, and write functions to solve the problem. This one-page activity contains 10 problems involving population, interest, and cell duplication.
Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus instructional activity, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Young scholars explore the pattern created by a sequence or series. In this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
The Power of One - Math in a Different Angle
In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential power, as well as the power of one, will be connected to a historical event as a way for the class to make connections to real-world events.
Modeling Orbital Debris Problems
Young scholars examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. It allows students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities.
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
What is the Slope of the Stairs in Front of the School?
Mathematicians apply the formula for line slope to determine the slope of stairs in their school. They work in small groups to take the appropriate measurements, perform the necessary calculations, and find the mean of their group slope calculations. They discuss the reasons why the slope calculations may be different.
Mathematics Lesson for Grade 12
Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains several lessons which include extensions, vocabulary, and related activities.
Pennies, Pressure, Temperature, and Light
Students explore a variety of relationships using pennies, pressure, temperature, light and pendulums to determine the algebraic equation that best represents the pattern modeled by the variables involved in each situation.
Continuous Probability Distributions
In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential distribution. This 20 page worksheet contains approximately 100 problems. Explanations and examples are provided throughout the document.
Quiz on Student Guide
Students review correct classroom procedures. In this algebra lesson plan, students are taught how to identify exponential graphs and identify the assyptotes and write an exponential formula.
Test on Chapter 4
Twelfth graders review concepts of logarithms for their test. In this calculus lesson, 12th graders review inverse function, limits, deratives and solving logs equations. They review the chain rule and domain and range of inverse logs.
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
World Population Milestones
Investigate logistic functions in a world population setting. High schoolers will create a scatter plot of the world population from 1950 to 2050 to find a logistic function to model the data. They then discuss the end behavior of their logistic model. Graphing calculators are needed.
Internet Phone Subscribers Soar
High schoolers investigate logistic models by making a scatter plot of internet phone users over 5 years. They find a logistic model that fits their data and then discuss what the instantaneous rate of change means in the context of the problem. Very relevant and applicable!
A Penny Saved is a Penny Earned
Learners explore the concept of exponential growth. In this exponential growth lesson, students manipulate power models with base 2. Learners discuss what would happen if you doubled a penny over the course of 20 days. Students graph their results using a scatterplot.