The graph of the equation2x²+xy+y²= 4is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisfy the equation yield the pictured ellipse. This is NOT the graph of a functiony=f(x). However, if you solve the original equation foryin terms ofx, you can break the graph into two pieces, each of which is the graph of a function as pictured below.(a) The upper piece of the ellipse (solid) is the graph of the function y=g(x)= (b) The lower piece (dashed) of the ellipse is the graph of the function y=h(x)= (c) There are two points indicated (as big dots) where the graphs of the functions in (a) and (b) "glue together". What is thex-coordinate of the right-most point? (d) The implicit derivative isdy/dx=

(e) Setting the denominator of (d) equal to zero yields the linear equation

(f)Simultaneously solving (e) with the original equation gives