http://i1179.photobucket.com/albums/x395/mathwebwork/Assignment_6-prob10-fig.gif
x² +xy+y² = 9
Think of y as a function of x. Differentiating implicitly and solving for y' gives:
y' =
The ellipse has two horizontal tangents. The upper one has the equation
y =
The right most vertical tangent has the equation
x =
That tangent touches the ellipse where
y =
x² +xy+y² = 9
Think of y as a function of x. Differentiating implicitly and solving for y' gives:
y' =
The ellipse has two horizontal tangents. The upper one has the equation
y =
The right most vertical tangent has the equation
x =
That tangent touches the ellipse where
y =