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find the derivative of f(x)=(x-2*lnx)^4

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jjmgingrich | Student, Undergraduate | (Level 1) Salutatorian

Posted June 14, 2012 at 3:37 AM via web

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find the derivative of f(x)=(x-2*lnx)^4

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 14, 2012 at 4:25 AM (Answer #1)

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The function `f(x)=(x-2*lnx)^4` . The derivative f'(x) is determined using the chain rule.

`f'(x) = 4*(x - 2*ln x)^3*(1 - 2/x)`

The required derivative of `f(x)=(x-2*lnx)^4` is `f'(x) = 4*(x - 2*ln x)^3*(1 - 2/x)`

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xoria | Student, Undergraduate | eNotes Newbie

Posted June 14, 2012 at 4:26 AM (Answer #2)

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[ 4(x-2lnx)^3 ] * [ (1-(2/x)) ]

 

Use chain rule.

 

 

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