Let $z = f ( x , y )$ such that $\nabla f ( - 1,2 ) = ( 3 , - 4 )$ . Find an equation of the tangent line to the level curve of $f ( x , y )$ that passes through point $( - 1,2 )$ .

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The Answer of Let $z = f ( x , y )$ such that $\nabla f ( - 1,2 ) = ( 3 , - 4 )$ . Find an equation of the tangent line to the level curve of $f ( x , y )$ that passes through point $( - 1,2 )$ .

Let z=f(x,y)z = f ( x , y )z=f(x,y) Such That ∇f(−1,2)=(3,−4)\nabla f ( - 1,2 ) = ( 3 , - 4 )∇f(−1,2)=(3,−4)

Let $z = f ( x , y )$ Such That $\nabla f ( - 1,2 ) = ( 3 , - 4 )$