AQA C3 2005 June — Question 1

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2005
SessionJune
TopicProduct & Quotient Rules

1
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = x \sin 2 x\).
    1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = \left( x ^ { 2 } - 6 \right) ^ { 4 }\).
    2. Hence, or otherwise, find \(\int x \left( x ^ { 2 } - 6 \right) ^ { 3 } \mathrm {~d} x\).