plumiPartial derivatives and stationary points: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 10.2 Partial derivatives and stationary points, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 9 questions on Partial derivatives and stationary points, as a list
- June 2025, Extra Pure, Q4 (16 marks): 2 2 4 A surface, S, is defined in 3-D by z f ( , ) x y where ( , ) f x y x 12 xy 96 y 30 . = = - + + You are given that the point (0, 0, 30) on S is a stationar
- June 2024, Extra Pure, Q1 (17 marks): A surface, S, is defined in 3-D by z f ( , ) x y where ( , ) f x y 12 x 30 y 6 xy . = = - + (a) Determine the coordinates of any stationary points on the surfac
- June 2023, Extra Pure, Q1 (7 marks): 2 1 A surface is defined in 3-D by z 3 x 6 xy y . = + + Determine the coordinates of any stationary points on the surface. [7]
- June 2023, Extra Pure, Q3 (8 marks): 2 2 3 A surface, S, is defined by ( , , ) g x y z 0 where ( , , ) g x y z 2 x x y 2 xy 27 z . The normal to = = - + + a k and the tangent plane to S at the poin
- June 2022, Extra Pure, Q5 (16 marks): x 2 x y ( 2 2 ) 5 A surface S is defined by z f ( , ), x y where ( , ) f x y y e - + + . = = f 2 (a) (i) Find . [1] x 2 f 2 x 2 x y 2 ( 2 2 ) (ii) Show that ( x
- November 2021, Extra Pure, Q1 (11 marks): In this question you must show detailed reasoning. 3 2 2 A surface S is defined by z f ( , ) x y where ( , ) f x y x x y 2 y . = = + - (a) On the coordinate axe
- November 2021, Extra Pure, Q5 (6 marks): 2 2 5 A surface S is defined for z 0 by x y 2 z 126 . C is the set of points on S for which the H + + = 1 r radians. tangent plane to S at that point intersects
- November 2020, Extra Pure, Q6 (17 marks): 4 2 2 6 A surface S is defined by z f ( , ) x y 4 x 4 y 17 x y . = = + - (a) (i) Show that there is only one stationary point on S. [5] The value of z at the st
- June 2019, Extra Pure, Q2 (11 marks): 2 2 A surface S is defined by z 4 x 4 y 4 x 8 y 11 . = + - + + (a) Show that the point P (0.5, -1, 6) is the only stationary point on S. [2] (b) (i) On the axes
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