plumiDifferentiating powers of x: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 7.2 Differentiating powers of x, 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 12 questions on Differentiating powers of x, as a list
- June 2025, AS Paper 2, Q6 (6 marks): The equation of a curve is 4 3 y x 8 x 20 . = - + d , is y (a) Show that the gradient function, x d d y 2 4 x ( x 6 ) . [2] = - d x (b) (i) On the axes in the P
- June 2024, Paper 1, Q13 (8 marks): 13 The curve with equation y px + , where p and q are constants, has a stationary point q = + 2 x at (2, 7). (a) Determine the values of p and q. [5] 2 d y (b)
- June 2024, AS Paper 1, Q5 (6 marks): In this question you must show detailed reasoning. a k is c 1 m at the point 1 31 99 , (a) Show that the gradient of the curve y x x 2 x . [4] = - - 2 4 4 2 a k
- June 2023, Paper 1, Q5 (5 marks): In this question you must show detailed reasoning. 16 2 (a) Find the coordinates of the two stationary points on the graph of y 15 x . [3] = - - 2 x (b) Show th
- June 2023, AS Paper 2, Q14 (7 marks): In this question you must show detailed reasoning. 8 The equation of a curve is y 16 x . = + x Determine the equation of the tangent to the curve at the point w
- June 2022, AS Paper 2, Q9 (10 marks): 9 The equation of a curve is y 12 x 4 x . = - 2 (a) State the coordinates of the intersection of the curve with the y-axis. [1] (b) Find the value of y when x 9
- 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, AS Paper 1, Q7 (6 marks): In this question you must show detailed reasoning. 3 2 A curve has equation y 4 x 6 x 9 x + . 4 = - - (a) Sketch the gradient function for this curve, clearly i
- November 2020, AS Paper 1, Q12 (12 marks): In this question you must show detailed reasoning. 1 2 Fig. 12 shows part of the graph of y x . = + 2 x y x O Fig. 12 1 2 17 meets the x-axis at A and meets the
- November 2020, AS Paper 2, Q9 (8 marks): 9 The equation of a curve is y 24 x 8 x 16 . = - + 2 d . y (a) Find x [3] d (b) Find the coordinates of the turning point. [3] (c) Determine the nature of the t
- June 2019, AS Paper 1, Q8 (7 marks): In this question you must show detailed reasoning. 2 Show that the only stationary point on the graph of y x 4 x is a minimum point at (,1 - 3 ) . = - [7]
- June 2018, AS Paper 2, Q10 (9 marks): 10 (i) A curve has equation y 16 x . Find = + 2 x d , y (A) [2] x d 2 d y (B) . [2] 2 d x (ii) Hence • find the coordinates of the stationary point, • determine
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