Derivatives of Exponential Function Teacher Resources

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In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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.
Bring functions to life! Not only does this app graph a number of different types of equations, it also allows the user to easily change the graph by moving different slides and seeing the result.  
Young scholars solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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.  
High schoolers 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.
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.
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!
Students explore the concept of exponential growth.  In this exponential growth lesson, students manipulate power models with base 2.  Students discuss what would happen if you doubled a penny over the course of 20 days.  Students graph their results using a scatterplot.
Twelfth graders investigate exponential decay.  For this Calculus lesson, 12th graders explore Newton’s Law of cooling which can be modeled by a differential equation.  Students use the model to solve a murder as they examine the temperature of a body to determine time of death.
Students explore the concept of logarithms.  For this logarithms lesson, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
Exploring families of functions allows high schoolers compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Learners explore natural logarithms.  In this calculus activity, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Learners solve problems involving exponential growth. 
Students graph curves with the derive program. In this math lesson, students explore technology and use to graph curves. This assignment creates a visual for trig and calculus functions.      
Learners derivative functions and limits. In this calculus lesson, students apply properties of limits to solve problems. They discus definitions of epsilon and delta.
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the quotient rule to find the derivative.
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 lesson, 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 and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
In this complex exponents worksheet, students determine the domain of analyticity of a function. This six-page worksheet contains ten problems.

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Derivatives of Exponential Function