Edexcel C4 — Question 5

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

5. A curve has the equation $$x ^ { 2 } - 3 x y - y ^ { 2 } = 12$$
  1. Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
  2. Find an equation for the tangent to the curve at the point \(( 2 , - 2 )\).
    5. continued