OCR Further Additional Pure AS 2018 June — Question 2

Exam BoardOCR
ModuleFurther Additional Pure AS (Further Additional Pure AS)
Year2018
SessionJune
TopicDifferentiation Applications
TypeFind stationary points
2 The surface with equation \(z = 6 x ^ { 3 } + \frac { 1 } { 9 } y ^ { 2 } + x ^ { 2 } y\) has two stationary points.
  1. Verify that one of these stationary points is at the origin.
  2. Find the coordinates of the second stationary point.
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