The Autonomous Differential Equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$

Multiple Choice

The autonomous differential equation $\frac { d x } { d t } = x ^ { 2 } ( x - 4 )$ has a solution that is

A) increasing everywhere
B) decreasing everywhere
C) increasing if $0 < x < 4$
D) decreasing if $x > 4$
E) increasing if $x > 4$