plumiDifferentiating exponentials, logs and trig functions: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 7.4 Differentiating exponentials, logs and trig functions, 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 exponentials, logs and trig functions, 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 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 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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