Find the Derivative of the Following Functions:
(A) $f ( x ) = \frac { \sqrt [ 3 ] { x } + 2 } { \sqrt [ 3 ] { x } - 2 }$

Essay

Find the derivative of the following functions:
(a) $f ( x ) = \frac { \sqrt [ 3 ] { x } + 2 } { \sqrt [ 3 ] { x } - 2 }$ (b) $f ( x ) = \frac { 1 } { x ^ { 2 } + 1 }$ (c) $f ( r ) = ( 1 + \sqrt { r } ) ( 1 - \sqrt { r } )$ (d) $f ( t ) = \frac { t e ^ { t } } { t ^ { 3 } + t }$