Edexcel C3 — Question 4

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
TopicProduct & Quotient Rules

4. Differentiate with respect to \(x\)
  1. \(x ^ { 3 } \mathrm { e } ^ { 3 x }\),
  2. \(\frac { 2 x } { \cos x }\),
  3. \(\tan ^ { 2 } x\). Given that \(x = \cos y ^ { 2 }\),
  4. find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(y\).