The specialized language programmers use to add and change data in the database is called:

The term "Data Manipulation Language" refers to a specialized language designed for managing and manipulating data within a database. This includes operations such as inserting, updating, and deleting data, as well as querying the database to retrieve specific information.

Data Manipulation Language is a crucial part of database management systems, as it enables programmers and users to efficiently interact with the data stored in databases. This language allows for the execution of commands that alter the data without affecting the overall structure of the database itself.

While other options represent important aspects of database interaction, they serve different purposes. For instance, Structured Query Language (SQL) often encompasses Data Manipulation Language functionalities among others but is broader in scope. Data access language typically pertains to the methods and interfaces used to retrieve data from a database. Data definition language, on the other hand, focuses on the structure of the database itself, describing how data is organized, rather than managing the data directly.

Thus, Data Manipulation Language is the precise term that encapsulates the actions of modifying and querying data in a database, making it the best answer in this context.