Edexcel C4 2014 June — Question 3

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2014
SessionJune
TopicImplicit equations and differentiation

3. $$x ^ { 2 } + y ^ { 2 } + 10 x + 2 y - 4 x y = 10$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\), fully simplifying your answer.
  2. Find the values of \(y\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\)