Question 5 - A-Level Maths

5. (i) Differentiate with respect to \(x\)

\(y = x ^ { 3 } \ln 2 x\)
\(y = ( x + \sin 2 x ) ^ { 3 }\) Given that \(x = \cot y\),
(ii) show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { - 1 } { 1 + x ^ { 2 } }\)