The gradient vector of g ( x , y ) = x 2 + y 2 − 4 x at the point ( 1 , 2 ) and use it to find the tangent line to the level curve g ( x , y ) = 1 at the point ( 1 , 2 ) ; sketch the graph of the gradient vector, tangent line and the level curve

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To find: The gradient vector of
g(x,y)=x2+y2−4x at the point
(1,2) and use it to find the tangent line to the level curve
g(x,y)=1 at the point
(1,2); sketch the graph of the gradient vector, tangent line and the level curve

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