OCR Pure 1 2018 March — Question 10

Exam BoardOCR
ModulePure 1 (Pure Mathematics 1)
Year2018
SessionMarch
TopicImplicit equations and differentiation

10 In this question you must show detailed reasoning.
Show that the curve with equation \(x ^ { 2 } - 4 x y + 8 y ^ { 3 } - 4 = 0\) has exactly one stationary point.