AQA C3 2011 January — Question 1

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2011
SessionJanuary
TopicProduct & Quotient Rules

1
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = \left( x ^ { 3 } - 1 \right) ^ { 6 }\).
  2. A curve has equation \(y = x \ln x\).
    1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
    2. Find an equation of the tangent to the curve \(y = x \ln x\) at the point on the curve where \(x = \mathrm { e }\).