An Efficiency Study of the Morning Shift at a Certain $f ( x ) = - x ^ { 3 } + 10 x ^ { 2 } - 3 x$

Multiple Choice

An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 8:00 A.M. will have assembled $f ( x ) = - x ^ { 3 } + 10 x ^ { 2 } - 3 x$ transistor radios x hours later. Approximately how many radios will the worker assemble between 10:00 and 10:15 A.M.?

A) Approximately 25 radios
B) Approximately 375 radios
C) Approximately 6 radios
D) Approximately 26 radios