The graph of $x ^ { 3 } e ^ { 3 }$ has
A) a relative maximum at x = 0
B) a relative minimum at x = 0
C) a point of inflection at x = 0
D) nothing significant at x = 0

Question

Quizplus · Accepted Answer

The function $x^3e^3$ has a point of inflection at $x = 0$ because the second derivative changes sign at this point, indicating a change in concavity but not a local maximum or minimum.

The Graph Of x3e3x ^ { 3 } e ^ { 3 }x3e3

The Graph Of $x ^ { 3 } e ^ { 3 }$