Edexcel P4 2018 Specimen — Question 2

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2018
SessionSpecimen
TopicImplicit equations and differentiation

2. A curve \(C\) has the equation $$x ^ { 3 } + 2 x y - x - y ^ { 3 } - 20 = 0$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
  2. Find an equation of the tangent to \(C\) at the point \(( 3 , - 2 )\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.
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