1.1. Given that  $y=(x-3{)}^{4},$

By first defining an appropriate function $u$ and writing $y$ in the form $y={u}^{n}$ where $n$ is a positive integer, use the chain rule to find $\frac{dy}{dx}$ in terms of x.

1.2. (i) By solving the equation$\frac{dy}{dx}=0$, find the coordinates of any stationary points.

 (ii) By considering the value of $\frac{dy}{dx}$ on either side of any stationary points, determine the nature of those stationary points.

1.3. Sketch the curve of $y={(x-3)}^{4}$ .