| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find derivative after algebraic simplification (fractional/mixed powers) |
| Difficulty | Easy -1.2 This is a straightforward differentiation exercise from C1 requiring basic power rule application. Part (a) needs rewriting the square root and applying the power rule (routine). Part (b) requires either quotient rule or expanding then differentiating - standard technique practice with no problem-solving element. Below average difficulty for A-level. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07q Product and quotient rules: differentiation |
Differentiate with respect to $x$
\begin{enumerate}[label=(\alph*)]
\item $x^4 + 6\sqrt{x}$, [3]
\item $\frac{(x + 4)^3}{x}$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q5 [7]}}