6.2 Exponential Functions

# 6.2 Exponential Functions - Exponential Function Let u be a...

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Exponential Functions Section 6.2

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Defn. of the Natural Exponential Function The inverse of the natural logarithmic function f(x) = ln x is called the natural exponential function : f –1 (x) = ex y = ex iff x = ln y
f –1(x) = ex f(x) = ln x

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l ln( ex ) = x l eln x = x l ln e = 1
Operations with Exponential Functions

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Definition of the Number e
Properties of the Natural Exponential Function

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The Derivative of the Natural

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Unformatted text preview: Exponential Function Let u be a differentiable function of x. 1. 2. [ ] x x e e dx d = [ ] dx du e e dx d u u = Integration Rules for Exponential Functions Let u be a differentiable function of x. 1. 2. c e dx e x x + = ∫ c e du e u u + = ∫ Joke Time How can you stop a skunk from smelling? Hold its nose Why do golfers wear 2 pairs of pants? In case they get a hole in one...
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6.2 Exponential Functions - Exponential Function Let u be a...

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