Suppose the graph of $z = f ( x , y )$ contains the point $P ( 2 , - 3,3 )$ , and that the tangent plane at P is given by $3 x + 2 y - 5 z = - 15$ .Find $f _ { x } ( 2 , - 3 )$ and $f _ { y } ( 2 , - 3 )$ .

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The Answer of Suppose the graph of $z = f ( x , y )$ contains the point $P ( 2 , - 3,3 )$ , and that the tangent plane at P is given by $3 x + 2 y - 5 z = - 15$ .Find $f _ { x } ( 2 , - 3 )$ and $f _ { y } ( 2 , - 3 )$ .

Suppose the Graph Of z=f(x,y)z = f ( x , y )z=f(x,y)

Suppose the Graph Of $z = f ( x , y )$