Which of the following describes a derivative work?

A derivative work is defined specifically as a piece that is created based on one or more preexisting works. This includes adaptations, modifications, or transformations of original works, such as translations, sequels, or remixes. The essence of a derivative work lies in its connection to existing material, which informs and shapes its creation while adding original elements of its own.

The other options do not align with the definition of derivative works. A work that is entirely original does not incorporate any existing content, thereby lacking the necessary foundation for a derivative classification. Likewise, a work created solely for educational purposes may or may not be a derivative work since it depends on whether it uses preexisting materials. Finally, a work that fails to meet copyright standards does not fit into the concept of derivative works, as copyright pertains to the protection of original expression, not the classification of how a work relates to other works. Thus, the correct description of a derivative work is one that is based upon previously established content.