Find the Extreme Values of the Function and Where They $$y = x ^ { 2 } e ^ { x }$$

question 27

Multiple Choice

Find the extreme values of the function and where they occur.
- $$y = x ^ { 2 } e ^ { x }$$

• A) Minimum value is 0 at \(x = 0\); no maximum value.
• B) Minimum value is 0 at \(x = 0\), maximum value is \(4 e ^ { - 2 }\) at \(x = - 2\).
• C) Minimum value is \(4 e ^ { - 2 }\) at \(x = - 2\); no maximum value.
• D) None