Edexcel C34 2017 October — Question 2

Exam BoardEdexcel
ModuleC34 (Core Mathematics 3 & 4)
Year2017
SessionOctober
TopicImplicit equations and differentiation

2. The curve \(C\) has equation $$y ^ { 3 } + x ^ { 2 } y - 6 x = 0$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
  2. Hence find the exact coordinates of the points on \(C\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\)