plumiChain, product and quotient rules: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 7.5 Chain, product and quotient rules, 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 11 questions on Chain, product and quotient rules, as a list
- June 2025, Paper 1, Q10 (10 marks): x2 e 10 The diagram shows part of the graph of the function y + which is defined for x 2- . 1 = x 1 y 4 3 2 1 0 x –1 1 d . y (a) Find an expression for x [3] d
- June 2024, Paper 3, Q11 (8 marks): Fig. 11.1 shows the curve with equation y g ( ) x where ( ) g x x sin x cos x and the curve of the = = + gradient function y g ( ) x for 2 x 2 . = l - r r G G F
- November 2021, Paper 2, Q14 (13 marks): The equation of a curve is 2 3 y x ( x 2 ) . = - d , giving your answer in factorised form. y (a) Find x [4] d (b) Determine the coordinates of the stationary p
- November 2020, Paper 1, Q4 (5 marks): ^ h , giving your answer in factorised form. 4 2 4 Find the second derivative of x 5 [5] +
- November 2020, Paper 2, Q15 (7 marks): Functions f (x) and g (x) are defined as follows. 3 f ( )x x for x 2 0 and ( )x g x - - for x 2 2. x 6 = = The function h (x) is defined as h (x) = fg (x). (a)
- November 2020, Paper 3, Q8 (16 marks): 8 (a) The curve y is shown in Fig. 8. ^ h = 2 2 x 1 + y x O Fig. 8 2 2 d y 20 x 4 - (i) Show that . [5] = 2 2 4 d x ( 1 x ) + (ii) In this question you must sho
- November 2020, Paper 3, Q12 (8 marks): ln x 12 (a) Show that the only stationary point on the curve y occurs where x = e, as given in = x line 45. [3] (b) Show that the stationary point is a maximum.
- June 2019, Paper 2, Q2 (4 marks): 12 2 Given that y ( x 5 ) , = + y d . (a) Find x [2] d ; 2 11 (b) Hence find 48 x x ( 5 ) d x . [2] +
- June 2019, Paper 2, Q11 (8 marks): 11 Fig. 11 shows the graph of y x 4 x x ln x . = - + y 8 6 4 2 x 0 2 4 6 –2 Fig. 11 (a) Show that the x-coordinate of the stationary point on the curve may be f
- June 2019, Paper 3, Q10 (4 marks): x e 10 Show that ( ) is an increasing function for all values of x. [4] f x = x 1 e +
- June 2018, Paper 1, Q13 (12 marks): 8 3 13 The function f (x) is defined by ( ) f x 27 x . Jenny uses her scientific calculator to create a table of = - values for f (x) and f x ( ) . l x f x ( )
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