plumiDifferentiating powers of x: WJEC A‑Level Maths questions
WJEC 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 5 questions on Differentiating powers of x, as a list
- Summer 2024, AS Unit 1, Q1 (4 marks): , find the value of d y 27 y 12 x 4 x 9 1. Given that x when . [4] d x
- Summer 2024, AS Unit 1, Q10 (6 marks): 10. Water is being emptied out of a sink. The depth of water, y cm, at time t seconds, may be modelled by y t 2 14 t 49 0 X t X 7. (a) Find the value of t
- Summer 2023, AS Unit 1, Q9 (11 marks): , find dy y x 2 3 x a) Given that dx from first principles. [5] 0 9 3 6 The function f is defined by f x 4 x b) 2 for x > 0. x ( ). Find ′f i) x [2]
- Summer 2019, AS Unit 1, Q8 (8 marks): dy Given that y = 2x2 – 5x, find from first principles. 0 8 a) [5] dx dy 1 y = 16 4 + 48 Given that , find the value of when x = 16. b) 5 x [3] dx x
- Summer 2018, AS Unit 1, Q4 (6 marks): dy y = 5 x + 6 x 0 4 a) Given that , find when x = 8. [3] 3 dx (5x 2 +12x−5 + 7)dx 3 ∫ b) Find . [3]
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