Given $u = u ( t ) , \quad v = v ( t ) , \quad w = w ( t )$

Essay

Given $u = u ( t ) , \quad v = v ( t ) , \quad w = w ( t )$ are functions of t, calculate the derivative of the functions:
(a) $f ( t ) = ( u + v ) ^ { 2 } + 2 t w$
(b) $f ( t ) = \frac { 3 } { u ^ { 2 } v }$