Each dataset on Data & Insights has a corresponding API document that is hosted on dev.socrata.com. This page contains details on utilizing the API for the particular dataset.
The API Docs page can be found from the dataset's primer page.
To Access from the Primer Page
Select the Actions button in the upper right corner of the primer page, then select API from the drop-down menu. This will open a new pop up window. From this window select API documentation, this will direct you to the docs for the particular dataset.