The level curves of $f ( x , y )$ are sketched below. (a) Find $f _ { x } ( 2,1 )$ (b) Find $f _ { y } ( 2,1 )$ (c) Sketch the gradient vector $\nabla f ( 2,1 )$ .

Question

The level curves of $f ( x , y )$ are sketched below.  (a) Find $f _ { x } ( 2,1 )$ (b) Find $f _ { y } ( 2,1 )$ (c) Sketch the gradient vector $\nabla f ( 2,1 )$ .

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The Answer of The level curves of $f ( x , y )$ are sketched below.  (a) Find $f _ { x } ( 2,1 )$ (b) Find $f _ { y } ( 2,1 )$ (c) Sketch the gradient vector $\nabla f ( 2,1 )$ .

The Level Curves Of f(x,y)f ( x , y )f(x,y) Are Sketched Below

The Level Curves Of $f ( x , y )$ Are Sketched Below