plumiDifferentiation from first principles: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 7.1 Differentiation from first principles, 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 4 questions on Differentiation from first principles, as a list
- Summer 2025, AS Unit 1, Q9 (5 marks): , find d y 2 2 y x x 9. Given that x from first principles. [5] d
- Summer 2024, Unit 3, Q6 (13 marks): Differentiate cosx from first principles. 6. (a) [5] Differentiate 3e sin4 x x with respect to x. (b) [3] 2sin2 d x x x (c) Find . [5]
- 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
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