Derivatives of Exponential Function Teacher Resources
Find Derivatives of Exponential Function educational ideas and activities
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Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve test problems.
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.
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Twelfth graders examine the Taylor Series. In this calculus activity, 12th graders explore the representation of a function as an infinite sum of terms calculated form the values of its derivatives at a single point, hence the Taylor Series. Students use a TI-89 to explore the patterns and the command to compute the Taylor series.
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.
For 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.
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
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 complex exponents worksheet, students determine the domain of analyticity of a function. This six-page worksheet contains ten problems.
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.
The major goal of this activity is to collect data from a variety of experiments, and then determine what type of model best fits the data, and explain why. Students will explore a variety of relationships using pennies, pressure, temperature, light, and pe
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 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.
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.
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.
In this logarithms and exponential worksheet, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.
Learners create functions from graphs. In this movement with functions lesson plan, students use motion detectors and create graphs from the movement. Afterward, they describe graphs and write equations for the graphs.
For 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.
Here's a real-world lesson using a business simulation. Two business accounts are used to find slope and intercept functions. The class graphs and interprets the information to find a break even point. There are plenty of worksheets and assessments included in this lesson.