OCR C4 2005 June — Question 6

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2005
SessionJune
TopicImplicit equations and differentiation
6 The equation of a curve is \(x y ^ { 2 } = 2 x + 3 y\).
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 2 - y ^ { 2 } } { 2 x y - 3 }\).
  2. Show that the curve has no tangents which are parallel to the \(y\)-axis.
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