2. (a) Differentiate with respect to \(x\)
- \(3 \sin ^ { 2 } x + \sec 2 x\),
- \(\{ x + \ln ( 2 x ) \} ^ { 3 }\).
Given that \(y = \frac { 5 x ^ { 2 } - 10 x + 9 } { ( x - 1 ) ^ { 2 } } , \quad x \neq 1\),
(b) show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - \frac { 8 } { ( x - 1 ) ^ { 3 } }\).