The given function is:

$h(x) = \frac{\sqrt{x}}{x^3 + 1}$

Would you like me to evaluate this function further, such as finding its derivative, analyzing its domain and range, or something else?

Here are a few possible next steps:

1. Find the domain of the function $h(x)$.
2. Find the derivative $h'(x)$.
3. Analyze the behavior of $h(x)$ as $x \to \infty$ or $x \to -\infty$.
4. Identify critical points and find local maxima/minima.
5. Integrate $h(x)$ if needed.

Tip: For fractional functions, it's essential to first analyze the denominator to determine points where the function might be undefined.