OCR C4 2013 January — Question 3

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2013
SessionJanuary
TopicImplicit equations and differentiation

3 The equation of a curve is \(x y ^ { 2 } = x ^ { 2 } + 1\). Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\), and hence find the coordinates of the stationary points on the curve.