Locate the Local Maximum of the Function $f ( x , y ) = e ^ { - \left( x ^ { 6 } + y ^ { 2 } \right) }$

Locate the local maximum of the function. $f ( x , y ) = e ^ { - \left( x ^ { 6 } + y ^ { 2 } \right) }$

A) $( 0,0,1 )$
B) $\left( 1,0 , \frac { 1 } { e } \right)$
C) $( 0,0,0 )$
D) $( 1,0 , e )$
E) $\left( 1,0 , \frac { 1 } { e ^ { 2 } } \right)$

Correct Answer:

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