Question: A differentiable function z = f ( x , y ) has the property that f ( - 2 , 4 ) = 0 ,

A differentiable function z=f(x,y) has the property that f(-2,4)=0,fx(-2,4)=9 and fy(-2,4)=-3
a. Find the equation of the tangent plane to the surface z=f(x,y) at the point (-2,4). Write the equation of the plane in general form, AxByCz=D.
Equation of Tangent Plane is
b. Find the equation of the tangent line to the level curve of f through the point (-2,4). Write your equation in slope-intercept form, y=mxb.
Equation of Tangent Line is
A differentiable function z = f ( x , y ) has the

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