1. (i) Find the gradient of the tangent to $C$ at the point where $x=1$, giving your answer in the form $-a{\text{e}}^{-2}$ where $a$ is a positive integer to be found.

(ii) Hence show that the gradient of the normal to $C$ at the point where $x=1$ is $\frac{1}{10}{\text{e}}^{2}$.