6.4 Derivatives and Integration of Logarithmic Functions

6.4 Derivatives and Integration of Logarithmic Functions -...

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Derivatives and Integration of Logarithmic Functions Section 6.3
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Derivative of ln function 1. 2. 3. [ ] 0 , 1 = x x x ln dx d [ ] 0 , ' 1 = = u u u dx du u u ln dx d ' d g ( x ) ln g( x ) , g( x ) dx g( x )  = 0
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Log Rule for Integration Let u be a differentiable function of x . 1. 2. C u du u + = ln 1 C dx x + = x ln 1
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Integrals of the 6 Basic Trig Functions C u du u + - = cos sin C u du u + - = cos sin + = C u du u sin cos C u du u + - = cos ln tan
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C u du u + = sin ln cot C u u du
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Unformatted text preview: u + + = tan sec ln sec C u u du u + +-= cot csc ln csc Steps in Logarithmic Differentiation The Number e as a Limit Joke Time Whats ? Natural log cabin + sea = Houseboat cabin dcabin Why do lumberjacks make good musicians? because of their natural log-a-rithms...
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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6.4 Derivatives and Integration of Logarithmic Functions -...

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