OCR C1 2013 January — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJanuary
TopicDifferentiation Applications
TypeFind derivative of polynomial

7 Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in each of the following cases:
  1. \(y = \frac { ( 3 x ) ^ { 2 } \times x ^ { 4 } } { x }\),
  2. \(y = \sqrt [ 3 ] { x }\),
  3. \(y = \frac { 1 } { 2 x ^ { 3 } }\).