Derivatives of Exponential Function Teacher Resources
Find Derivatives of Exponential Function educational ideas and activities
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Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret population growth.
High schoolers develop and analyze exponential models for the behavior of light passing through water.
Sal continues his discussion of decay by showing students the math involved in determining how much a substance is left after one half-life, two half-lives, and even three half-lives have gone by. He sets up a general function of time that can be used to determine the remaining amount of a substance after 10 minutes, or three billion years have elapsed!
Students explore the calculator function of the TI-Nspire. In this secondary mathematics lesson, students investigate many of the features of the calculator function of the TI-Nspire. Students review basic computation, square roots, absolute values, exponential functions, logarithmic functions, trigonometric functions, summations and matrices as they explore the TI-Npsire.
Money, money, money. A complete activity that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and exponential functions.
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time units. Lesson includes a detailed commentary on how to work each problem.
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions. Problems and solutions are included.
In this radiation and temperature activity, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum. Students are given data of the temperatures and wavelengths for 12 different bodies and they find a formula that fits the data.
Pupils explore functions. In this derivatives lesson students complete an attached worksheet. A formula sheet for derivatives is included. This lesson is designed as a review for the derivatives test.
In this differentiating special functions instructional activity, 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 on a graph. In addition they find the slope of the function at a given point.
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus instructional activity students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast the three in a problem solving context.
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are not provided.
Learners choose a subject of interest and collect related statistical information. They use a graphing calculator to derive the equation for curve of best fit for the data and then predict future trends.
In this derivative learning exercise, 11th graders solve and complete 8 various types of problems. First, they find the value of the derivative of the given function at the indicated point. Then, students complete the table by rewriting each function into a derivative and then simplifying.
In this integral instructional activity, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page instructional activity contains approximately 40 problems.
In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short answer problems.
Students create functions from graphs. In this movement with functions lesson, students use motion detectors and create graphs from the movement. Afterward, they describe graphs and write equations for the graphs.
In this function and logarithms worksheet, students find the domain and range of functions, use the properties of logs to solve equations. This one-page worksheet contains nine multi-step problems.
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In 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 plan, 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.