Answer
$=\frac{1}{2\sqrt x}-\frac{1}{x^{2}}$.
Work Step by Step
Convert all monomials into powers of x by using exponent rules. Therefore, $f(x)$ becomes $x^{1/2}+x^{-1}$. Finally, using the power rule for derivatives ($[x^{n}]'=nx^{n-1}$) gives you $=\frac{1}{2\sqrt x}-\frac{1}{x^{2}}$.
