Solve the Problem $$f ( x ) = x ^ { 3 }$$

Multiple Choice

Solve the problem.
-The function f $$f ( x ) = x ^ { 3 }$$ describes the volume of a cube, f(x) , in cubic inches, whose length, width, and height each measure x inches. Find the instantaneous rate of change of the volume with respect to x when x = 4 inches.

A) 12 cubic inches per inch
B) 49.21 cubic inches per inch
C) 48 cubic inches per inch
D) 192 cubic inches per inch