plumiDifferentiating powers of x: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 7.2 Differentiating powers of x, 2010–2025, 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 5 questions on Differentiating powers of x, as a list
- June 2025, AS Pure, Q6 (7 marks): f (x) = ax 3 + bx 2 + 18x + 9 where a and b are constants. Given that (x + 3) is a factor of f (x) (a) show that –3a + b = 5 (2) Given also that f′ (2) = 14 (b)
- June 2024, Pure 2, Q1 (5 marks): y x x x 4 7 5 10 3 2 (a) Find in simplest form (i) d d y x (ii) d d 2 2 y x (3) (b) Hence find the exact value of x when d d 2 2 y x = 0 (2)
- June 2023, AS Pure, Q1 (6 marks): A curve has equation (a) Find d d y x writing your answer in simplest form. (2) (b) Hence find the range of values of x for which y is decreasing. (4)
- June 2019, AS Pure, Q5 (5 marks): A curve has equation y = 3x2 + 24 x + 2 x 0 (a) Find, in simplest form, d d y x (3) (b) Hence find the exact range of values of x for which the curve is increas
- June 2018, Pure 1, Q2 (7 marks): A curve C has equation y = x2 − 2x − 24 x, x > 0 (a) Find (i) d d y x (ii) d d 2 2 y x (3) (b) Verify that C has a stationary point when x = 4 (2) (c) Determine
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