plumiDifferentiating powers of x: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on G.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
- June 2024, Paper 3, Q4 (2 marks): A curve has equation y = x4 + 2x Find an expression for dy dx [2 marks]
- June 2023, Paper 1, Q2 (1 mark): Given that y = 2x3 find dy dx Circle your answer. [1 mark] dy dx = 5x2 dy dx = 6x2 dy dx = x4 2 dy dx = 6x3
- June 2023, Paper 2, Q4 (7 marks): A curve has equation y = x2 8 + 4 x p 4 (a) Find an expression for dy dx [3 marks] 4 (b) The point P with coordinates (4, 10) lies on the curve. Find an equatio
- June 2018, Paper 1, Q1 (1 mark): y = 1 x2 Find an expression for dy dx Circle your answer. [1 mark] dy dx = 0 2x dy dx = x−2 dy dx = − 2 x dy dx = − 2 x3
- June 2018, Paper 3, Q2 (1 mark): A curve has equation y = x5 + 4x3 + 7x + q where q is a positive constant. Find the gradient of the curve at the point where x = 0 Circle your answer. [1 mark]
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