Activity:
Exponential Growth 

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http://education.ti.com/.../Activity.do
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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 Euler’s number e, the base of natural logarithms. 
Technology Type: 
TINspire  
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 
