Edexcel C4 2008 January — Question 5

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2008
SessionJanuary
TopicImplicit equations and differentiation

5. A curve is described by the equation $$x ^ { 3 } - 4 y ^ { 2 } = 12 x y$$
  1. Find the coordinates of the two points on the curve where \(x = - 8\).
  2. Find the gradient of the curve at each of these points.