Answer
$a)1+\frac{1}{2\sqrt{x_0}}$
b)$\frac{3}{2}$
Work Step by Step
a) The formula for the slope of the tangent line to the graph of f at a general point x = $x_0$.
--> $1+\frac{1}{2\sqrt{x_0}}$
b)The formula obtained in part (a) to find the slope of the tangent line for the given value of $x_0$
$\frac{3}{2}$