Let $f ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y$ . Find the direction at the origin in which $f ( x , y )$ is decreasing the fastest.

Name: Let $f ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y$ . Find the direction at the origin in which $f ( x , y )$ is decreasing the fastest.
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The Answer of Let $f ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y$ . Find the direction at the origin in which $f ( x , y )$ is decreasing the fastest.

Let f(x,y)=3x3+y2−9x+4yf ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 yf(x,y)=3x3+y2−9x+4y

Let $f ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y$