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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
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
C u du u + = sin ln cot C u u du

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Unformatted text preview: u + + = âˆ« tan sec ln sec C u u du u + +-= âˆ« cot csc ln csc Steps in Logarithmic Differentiation The Number e as a Limit Joke Time Whatâ€™s ? Natural log cabin + sea = Houseboat âˆ« cabin dcabin Why do lumberjacks make good musicians? because of their natural log-a-rithms...
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6.4 Derivatives and Integration of Logarithmic Functions -...

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