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Let f(x,y)=x2+3y23xf ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - 3 x

Question 42

Multiple Choice

Let f(x,y) =x2+3y23xf ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - 3 x Find the gradient vector of f at the point (-1, 2) .


A) f=5i12j\nabla f = - 5 \vec { i } - 12 \vec { j }
B) f=5i+24j\nabla f = - 5 \vec { i } + 24 \vec { j }
C) f=5i+12j\nabla f = 5 \vec { i } + 12 \vec { j }
D) f=5i+12j\nabla f = - 5 \vec { i } + 12 \vec { j }

Correct Answer:

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