Question: Consider the following function \(H\left( x \right)=x\sqrt{x-1}\) . Find

1. The domain.
2. The first derivative.
3. The intervals where the given function is increasing and where it is decreasing
4. The relative extrema.
5. The second derivative,
6. The intervals where it is concave upward and where it is concave downward.
7. The inflection point.
8. Sketch the graph.

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