June 2024 Paper 1 Q6
6 Use the chain rule to find \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) when \(y = (x^3 + 5x)^7\) [2 marks]
| Scheme | Marks | AO |
|---|---|---|
| Uses the chain rule to obtain \(7\left(x^3 + 5x\right)^6\,\mathrm{f}(x)\) Or \(\mathrm{g}(x)\left(3x^2 + 5\right)\) Where \(\mathrm{f}(x)\) and \(\mathrm{g}(x)\) are polynomials of degree at least 1. Condone incorrect or missing brackets around their \(3x^2 + 5\) | M1 | 1.1a |
| Obtains \(7\left(3x^2 + 5\right)\left(x^3 + 5x\right)^6\) OE ISW | A1 | 1.1b |
| (2 marks) |