"his derision" is correct and usable in written English.
You can use it to refer to a feeling of contempt or a mocking attitude that someone has towards something. For example: "The manager's derision was apparent when he refused to listen to the team's suggestions."
Bernstein was merciless in his derision: "Gutter press," he growled.
The only leader in the region who seemed to escape his derision was Benjamin Netanyahu.
But Mr. Biden was more pronounced in his derision of their would-be opponents in the fall.
Richard E. Mourdock of Indiana, whose Senate campaign has been most notable for his derision of legislative compromise as feckless, now says he would "work with anyone".
(Recall his derision, in "Roger and Me," for an impoverished woman in Flint, Michigan, who slaughtered rabbits to make ends meet).
After winning the loathsome prize in 1986, Amis put his derision in abeyance, never expressing his contempt in public again.
James G. Watt, who served as President Reagan's first secretary of the interior, proved a fund-raising bonanza for environmental groups because of his efforts to privatize public resources and his open derision of his opponents.
His forte is derision, his tone a sort of hilarious contempt.
"Well, it's company, innit!" he finally says, barely disguising his gentle derision.
If he had to guess why he was arrested, his trouble with the party dated to his opposition to Iraq's invasion of Kuwait a decade earlier, his opposition to a plan to steal 13 mainframe computers from Kuwaiti banks during the occupation, and his open derision for senior university officials who took kickbacks on computer and other equipment purchases.
For his part Puerto Rico's governor, Alejandro García Padilla, disagreed with lowering the minimum wage in a televised speech – broadcast over an hour late, much to his critics' derision – on Monday evening, about 24 hours after he was quoted in the New York Times as saying that the island's $73bn debt was unpayable.
