plumiDifferentiating exponentials, logs and trig functions: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on G.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 6 questions on Differentiating exponentials, logs and trig functions, as a list
- June 2024, Paper 2, Q10 (4 marks): The function f is defined by f (x) = x2 + 2 cos x for – π ≤ x ≤ π Determine whether the curve with equation y = f (x) has a point of inflection at the point whe
- June 2024, Paper 3, Q4 (2 marks): A curve has equation y = x4 + 2x Find an expression for dy dx [2 marks]
- November 2021, Paper 1, Q2 (1 mark): Given that y = ln (5x) find dy dx Circle your answer. [1 mark] dy dx = 1 x dy dx = 1 5x dy dx = 5 x dy dx = ln 5
- November 2020, Paper 1, Q14 (9 marks): The function f is defined by f (x) = 3x x p × 1 where x ≥ 0 14 (a) f (x) = 0 has a single solution at the point x = a By considering a suitable change of sign,
- June 2019, Paper 2, Q16 (16 marks): An elite athlete runs in a straight line to complete a 100-metre race. During the race, the athlete’s velocity, v m s−1, may be modelled by v = 11:71 − 11:68e−0
- June 2018, Paper 1, Q5 (6 marks): A curve is defined by the parametric equations x = 4 × 2−t + 3 y = 3 × 2t − 5 5 (a) Show that dy dx = −3 4 × 22t [3 marks] 5 (b) Find the Cartesian equation of
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