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Activity: Exponential Growth
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Description: The main objective of this activity is to find an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, students are asked to search for the base, b, that defines a function f(x) = b^x with the property that at any point on the graph, the slope of the tangent line (instantaneous rate of change) is equal to f(x). The result is approximating the value of Eulerís number e, the base of natural logarithms.
Technology Type: TI-Nspire 
Author: Texas Instruments
Language: English 
Cost: Does not require payment for use

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Courses: Algebra II Exponential Functions, Definition of e
PreCalculus exponential, increasing, decreasing and constant rates of change, tangent line
Calculus As an instant. rate of change, Derivative at a Point