If $f ( x , y ) = 4 - x ^ { 2 }$ , find $f _ { x } ( 1,1 )$ and $f _ { y } ( 1,1 )$ and interpret these numbers as slopes. Illustrate with sketches.

Name: If $f ( x , y ) = 4 - x ^ { 2 }$ , find $f _ { x } ( 1,1 )$ and $f _ { y } ( 1,1 )$ and interpret these numbers as slopes. Illustrate with sketches.
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The Answer of If $f ( x , y ) = 4 - x ^ { 2 }$ , find $f _ { x } ( 1,1 )$ and $f _ { y } ( 1,1 )$ and interpret these numbers as slopes. Illustrate with sketches.

If f(x,y)=4−x2f ( x , y ) = 4 - x ^ { 2 }f(x,y)=4−x2

If $f ( x , y ) = 4 - x ^ { 2 }$