Find the extreme values of the function and where they occur.
-$$y = x ^ { 2 } e ^ { - x } + 2 x e ^ { - x }$$
A) Maximum value is $2 \mathrm { e } ^ { - \sqrt { 2 } } ( 1 + \sqrt { 2 } )$ at $\mathrm { x } =$; no minimum value.
B) Minimum value is $2 e ^ { \sqrt { 2 } } ( 1 - \sqrt { 2 } )$ at $x = - \sqrt { 2 }$; maximum value is $2 e ^ { - \sqrt { 2 } } ( 1 + \sqrt { 2 } )$ at $x = \sqrt { 2 }$.
C) Minimum value is $2 e ^ { \sqrt { 2 } } ( 1 - \sqrt { 2 } )$ at $x = - \sqrt { 2 }$; no maximum value.
D) None

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The Answer of Find the extreme values of the function and where they occur.
-$$y = x ^ { 2 } e ^ { - x } + 2 x e ^ { - x }$$
A) Maximum value is $2 \mathrm { e } ^ { - \sqrt { 2 } } ( 1 + \sqrt { 2 } )$ at $\mathrm { x } =$; no minimum value.
B) Minimum value is $2 e ^ { \sqrt { 2 } } ( 1 - \sqrt { 2 } )$ at $x = - \sqrt { 2 }$; maximum value is $2 e ^ { - \sqrt { 2 } } ( 1 + \sqrt { 2 } )$ at $x = \sqrt { 2 }$.
C) Minimum value is $2 e ^ { \sqrt { 2 } } ( 1 - \sqrt { 2 } )$ at $x = - \sqrt { 2 }$; no maximum value.
D) None

Find the Extreme Values of the Function and Where They y=x2e−x+2xe−xy = x ^ { 2 } e ^ { - x } + 2 x e ^ { - x }y=x2e−x+2xe−x

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