Let f (x) = (ln x)^8 f '(x) =f '(e^3) =

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hala718 eNotes educator| Certified Educator

`f(x)= (lnx)^8 `

`==gt f'(x)= 8(lnx)^7 (lnx)' `

`==gt f'(x)= 8(lnx)^7 *1/x`

` ==gt f'(x)= (8(lnx)^7)/x `

`==gt f(e^3)= (8(lne^3)^7)/e^3 `

`==gt f(e^3)= (8*(3lne)^7)/e^3 `

`==gt f(e^3)= (8*3^7)/e^3~~871.1`

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