Question 1 - A-Level Maths

Exam Board	OCR MEI
Module	Further Extra Pure (Further Extra Pure)
Year	2023
Session	June
Topic	Invariant lines and eigenvalues and vectors

1 A surface is defined in 3-D by \(z = 3 x ^ { 3 } + 6 x y + y ^ { 2 }\).
Determine the coordinates of any stationary points on the surface.