| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find derivative after algebraic simplification (fractional/mixed powers) |
| Difficulty | Easy -1.8 This is a straightforward differentiation exercise requiring only direct application of the power rule to three terms after rewriting in index form. It's purely procedural with no problem-solving element, and is easier than typical A-level questions which usually involve multiple steps or application of techniques. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
| Answer | Marks |
|---|---|
| \(= 6x - \frac{1}{3}x^{-1} - \frac{1}{2}x^2\) | M1 A3 |
$= 6x - \frac{1}{3}x^{-1} - \frac{1}{2}x^2$ | M1 A3 |
**Total: 4 marks**
---Differentiate with respect to $x$
$$3x^2 - \sqrt{x} + \frac{1}{2x}.$$ [4]
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}