plumiChain, product and quotient rules: WJEC A‑Level Maths questions
WJEC 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 8 questions on Chain, product and quotient rules, as a list
- Summer 2025, Unit 3, Q1 (11 marks): 1. (a) Differentiate each of the following functions with respect to x. 3 e x 2 x (i) [2] 2 x e sin3 x (ii) [3] cos2 x (iii) [3] 2 x 1 (b) A function
- 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 2024, Unit 3, Q14 (7 marks): d y 1 lnx ln x y 14. (a) Given that , show that . [2] x d x x 2 (b) Hence, solve the differential equation 2 d x x t , d t ln x 1 t 3 x . given th
- Summer 2023, Unit 3, Q2 (13 marks): 2 a) Differentiate each of the following with respect to x. i) 5 sin x x 2 [2] 3 cos x x ii) [2] 3 x e iii) [3] sin2 x b) Find the equation of the tangent
- Summer 2022, Unit 3, Q2 (5 marks): 2 Differentiate the following functions with respect to x. x3ln(5x) a) [3] (x + cos3x)4 b) [2]
- Summer 2022, Unit 3, Q15 (9 marks): 5 A rectangle is inscribed in a semicircle with centre O and radius 4. The point P(x, y) is the vertex of the rectangle in the first quadrant as shown in the di
- Summer 2019, Unit 3, Q10 (11 marks): a) Differentiate each of the following functions with respect to x. 1 0 i) x5 lnx e3x ii) x3 −1 1 ( tan x + 7x ) iii) 2 [8] b) A function is defined implicitly
- Summer 2018, Unit 3, Q16 (11 marks): 6 a) Differentiate the following functions with respect to x, simplifying your answer wherever possible. e3tanx, i) sin2x ii) . [5] x2 b) A function is defined
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