OCR MEI Paper 2 Specimen — Question 12

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
SessionSpecimen
TopicImplicit equations and differentiation

12 Fig. 12 shows the curve \(2 x ^ { 3 } + y ^ { 3 } = 5 y\).
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  1. Find the gradient of the curve \(2 x ^ { 3 } + y ^ { 3 } = 5 y\) at the point \(( 1,2 )\), giving your answer in exact form.
  2. Show that all the stationary points of the curve lie on the \(y\)-axis.