Consider the equation.

$f(x)=\frac{1}{\sqrt[\phantom{2}]{x}}at(1,1)$

$($a$)$ Find an equation for the tangent line to the graph of the function at the indicated point.

$y_1=$

$($b$)$ Find an equation of the normal line to the function at the indicated point.

$y_2=$

$($c$)$ Graph the function $f,$ the tangent line $y_1,$ and the normal line $y_2$ at the indicated point on the same set of coordinate axes.