How to find critical points and the highest point on the graph of #4x^2 + 4xy+7y^2=15#?
1 Answer
Find
Explanation:
so we have (in the original equation):
Solve for
Now substitute in the original equation and solve for
For
and for
Obviously the high point is at the positive
(Really, we also have critical points when
Here is the graph:
graph{4x^2 + 4xy+7y^2=15 [-4.385, 4.384, -2.19, 2.195]}