| Exam Board | Edexcel |
| Module | P1 (Pure Mathematics 1) |
| Year | 2021 |
| Session | October |
| Topic | Differentiation Applications |
| Type | Find stationary points |
2. In this question you must show all stages of your working.
\section*{Solutions relying on calculator technology are not acceptable.}
A curve has equation
$$y = 3 x ^ { 5 } + 4 x ^ { 3 } - x + 5$$
The points \(P\) and \(Q\) lie on the curve.
The gradient of the curve at both point \(P\) and point \(Q\) is 2
Find the \(x\) coordinates of \(P\) and \(Q\).