If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$, use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 124$ at the point $( 10,2 )$.

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The Answer of If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$, use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 124$ at the point $( 10,2 )$.

If f(x,y)=x2+6y2f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }f(x,y)=x2+6y2

If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$