| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find derivative of simple polynomial (integer powers) |
| Difficulty | Easy -1.2 This is a straightforward differentiation question requiring only the application of the power rule to three terms. It's a routine C1 exercise with no problem-solving element—students simply apply standard differentiation formulas they've memorized. The 4 marks reflect working steps rather than conceptual difficulty. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
Given that
$$y = 4x^3 - 1 + 2x^{-1}, \quad x > 0,$$
find $\frac{dy}{dx}$. [4]
\hfill \mbox{\textit{Edexcel C1 Q1 [4]}}