SHANGHAI--A Chinese man whose son was killed while driving a Tesla Motors Inc. TSLA -0.82 % vehicle applied to a local Beijing court to investigate whether the car's Autopilot driving system was engaged. In January, 23-year-old Gao Yaning died in a crash in the northeastern province of Hebei while driving a Tesla Model S. Six months later his father, Gao Jubin, filed a lawsuit accusing Tesla of exaggerating Autopilot's capabilities. At a court hearing Tuesday, he asked for an independent investigation of the cause of the crash. "The family insists the investigation should be done by a third party, rather than Tesla," said Cui Qiuna, a lawyer for the Gao family. The court will study the family's request.