What are the critical points of #x^2/9 + y^2/36 = 1#?
2 Answers
The axes are
The center is
The foci are F
Explanation:
This is the equation of an ellipse.
The major axis
The minor axis
The center is
The foci are F
graph{(x^2/9)+(y^2/36)=1 [-14.24, 14.23, -7.12, 7.12]}
Critical points are
Explanation:
A critical point is a point on a curve, where either the derivative is not defined or its value is zero.
As
or
which is zero when
Note that when
Critical points are
In fact, it is an ellipse with major axis at
graph{x^2/9+y^2/36=1 [-20, 20, -10, 10]}