The ellipse equation is
.
Find
.

Apply derivative on each side with respect to
.



Find the points when
.

Substitute
in the equation.


.
at the end points of the major axis.
End points of the major axis are
.
Find the points when
.

Substitute
in the equation.

at the end points of the minor axis.
End points of the minor axis are
.
End points of the major axis are
.
End points of the minor axis are
.