A curve is defined by

1. Find the equation of the normal to the curve at the point where $x=2.$

2. Prove that the curve has a minimum point when $x=1.$

For (b), it is not enough to demonstrate that $\frac{dy}{dx}=0$ when $x=0.$ You must use the second derivative test.

The point $(1,\gamma )$ lies on the normal from (a). Given that

find the vale of