`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`

``

``

`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`

``

``