Edexcel C3 2012 June — Question 7

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2012
SessionJune
TopicProduct & Quotient Rules

  1. Differentiate with respect to \(x\),
    1. \(x ^ { \frac { 1 } { 2 } } \ln ( 3 x )\)
    2. \(\frac { 1 - 10 x } { ( 2 x - 1 ) ^ { 5 } }\), giving your answer in its simplest form.
  2. Given that \(x = 3 \tan 2 y\) find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\).