| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Product & Quotient Rules |
| Type | Find derivative of quotient |
| Difficulty | Moderate -0.3 This is a straightforward differentiation question requiring either the quotient rule or (more efficiently) rewriting as a product/sum of powers before differentiating. It's slightly easier than average because it's a single-part question with a clear method, though it requires careful algebraic manipulation and is worth 5 marks indicating some working is expected. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07q Product and quotient rules: differentiation |
Differentiate with respect to $x$
$$\frac{6x^2 - 1}{2\sqrt{x}}.$$ [5]
\hfill \mbox{\textit{OCR C1 Q4 [5]}}