A graphing calculator is recommended.

The graph of the function $f(x)=\frac{x}{1x^2}$ is called a serpentine.

$($a$)$ Find an equation of the tangent line to this curve at the point $(3,0\mathrm{.}30).$

$y=$

$$

$($b$)$ Illustrate part $($a$)$ by graphing the curve and the tangent line on the same screen.

$(1)$