OCR C3 2010 June — Question 1

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2010
SessionJune
TopicProduct & Quotient Rules

1 Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in each of the following cases:
  1. \(y = x ^ { 3 } \mathrm { e } ^ { 2 x }\),
  2. \(y = \ln \left( 3 + 2 x ^ { 2 } \right)\),
  3. \(y = \frac { x } { 2 x + 1 }\).