Edexcel C4 2009 January — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2009
SessionJanuary
TopicImplicit equations and differentiation
A curve \(C\) has the equation \(y ^ { 2 } - 3 y = x ^ { 3 } + 8\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
  2. Hence find the gradient of \(C\) at the point where \(y = 3\).
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