Step 1: Cytotoxic drugs provoke vomiting largely by liberating serotonin that acts on 5-HT3 receptors on vagal afferents and in the chemoreceptor trigger zone.
Step 2: Blocking those 5-HT3 receptors is the most effective way to stop this emesis, and granisetron is exactly such a selective 5-HT3 antagonist, making it the drug of choice.
Step 3: Its antiemetic effect comes from damping vagal signalling to the medullary vomiting centre, which is the trigger for the reflex.
Step 4: The other options act on adrenergic or histaminergic systems and are not aimed at chemo-induced vomiting, so granisetron is correct.
\[\boxed{\text{Granisetron}}\]