Edexcel C4 2012 January — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2012
SessionJanuary
TopicImplicit equations and differentiation

  1. The curve \(C\) has the equation \(2 x + 3 y ^ { 2 } + 3 x ^ { 2 } y = 4 x ^ { 2 }\).
The point \(P\) on the curve has coordinates \(( - 1,1 )\).
  1. Find the gradient of the curve at \(P\).
  2. Hence find the equation of the normal to \(C\) at \(P\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.