plumiImplicit and parametric differentiation: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 7.8 Implicit and parametric differentiation, 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 10 questions on Implicit and parametric differentiation, as a list
- June 2025, Paper 1, Q11 (10 marks): The curve in the graph below is defined implicitly by ( 2 x y )( y 1 ) 6 . + - = y x d = y 2 1 ( y ) - (a) Show that . [4] d x 2 y 2 x 1 + - (b) Find the equati
- June 2024, Paper 2, Q13 (9 marks): Determine the coordinates of the turning points on the curve with equation 2 2 y xy x x = . 1 [9] + + -
- June 2024, Paper 3, Q12 (9 marks): The diagram shows the curve with parametric equations x sin 2 + , 2 y 2 cos cos 2 for 0 1 2 . , r = i = i + i G i y x O (a) In this question you must show detai
- June 2023, Paper 2, Q15 (7 marks): In this question you must show detailed reasoning. The equation of a curve is 3 ln y x y 8 . + = Find the equation of the normal to the curve at the point where
- June 2022, Paper 1, Q8 (10 marks): t2 8 A particle moves in the x-y plane so that its position at time t s is given by x t t8 , y for = - = 3 5 . 1 t 1 3 5 . . The units of distance are metres. T
- June 2022, Paper 3, Q5 (7 marks): 2 5 A curve is defined implicitly by the equation x 2 3 xy y 2 0 . + + + = d y 4 x 3 y + (a) Show that d . [3] =- x y x 3 2 + (b) In this question you must show
- November 2020, Paper 1, Q10 (9 marks): In this question you must show detailed reasoning. 1 1 1 Fig. 10 shows the curve given parametrically by the equations x , y , for t 2 0 . = = - t 2 3 t t y x O
- June 2019, Paper 3, Q9 (6 marks): In this question you must show detailed reasoning. 2 The curve xy y 8 is shown in Fig. 9. + = y x O Fig. 9 [6] Find the coordinates of the points on the curve a
- June 2018, Paper 2, Q15 (9 marks): You must show detailed reasoning in this question. The equation of a curve is 3 - y xy 4 x 4 . + = Find the gradient of the curve at each of the points where y
- June 2018, Paper 3, Q8 (8 marks): t t 8 A curve has parametric equations x , y t , where 1 . ! - = = 3 3 1 t 1 t + + (i) In this question you must show detailed reasoning. Determine the gradient
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