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5_4_exponential_functions - 5.4 Exponential Functions...

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©G. Battaly, 2011 1 5.4 Exponential Functions: Differentiation and Integration Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Homework Part 1 Homework Part 2 Assignment: 5.4 # 1­15, 25­28 all, 29, 37, 39; 41, 45, 49, 51, 53, 57, 63­39, 73, 79; 99, 103, 107, 111, 115, 117, 121
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©G. Battaly, 2011 2 5.4 Exponential Functions: Differentiation and Integration Consider a single cell bacteria: Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Homework Part 1 Homework Part 2
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©G. Battaly, 2011 3 Exponential Function This is base 2. Have you seen functions with a different base? Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Homework Part 1 Homework Part 2
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©G. Battaly, 2011 4 5.4 Exponential Functions: Differentiation and Integration Natural Exponential Function y = ln x Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Homework Part 1 Homework Part 2
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©G. Battaly, 2011 5 y = e ­x y = e x Properties of the Natural Exponential Function Domain?
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