Specimen 2020 Paper 2 Q10
10
\[y = \frac{6x^9 + x^8}{2x^4}\]Work out the value of \(\quad \dfrac{\mathrm{d}^2y}{\mathrm{d}x^2} \quad\) when \(\quad x = 0.5\) [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{6x^9}{2x^4} + \dfrac{x^8}{2x^4}\) or \(3x^5\) or \(\dfrac{1}{2}x^4\) | M1 | |
| \(3x^5 + \dfrac{1}{2}x^4\) | A1 | |
| \(15x^4\) or \(2x^3\) | M1dep | differentiates at least one term correctly |
| \(60x^3 + 6x^2\) | M1dep | differentiates their 2-term \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) correctly |
| 9 | A1 |