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

Expert Answers
justaguide eNotes educator| Certified Educator

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)`

xoria | Student

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

 

Use chain rule.

 

 

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