The given function is:

$f(x) = \sqrt[3]{x^3 - 6x^2}$

Would you like to:

1. Analyze its domain?
2. Find the derivative $f'(x)$?
3. Explore critical points or inflection points?
4. Solve for zeros of the function?
5. Analyze its graph or behavior?

Let me know what you'd like me to do, or I can provide a complete breakdown! 😊

Tip:

When analyzing roots of a function like this, consider both the inside expression ($x^3 - 6x^2$) and the outer operation (cube root).