Let

1. Show that

   $$\frac{dy}{dx}=y\frac{(1-\ln x)}{x^2}$$

2. Find the exact value of

   $$\frac{d^{2}y}{d{x}^2}$$

   at the maximum point of the curve.

Start by taking $\ln$ of both sides of the equation. After simplifying the right-hand side, you can now use implicit differentiation.

The answer can be given in the form

Give the value of