Win_odd Dhamnekar
Junior Member
- Joined
- Aug 14, 2018
- Messages
- 207
The graph of f(x,y)=x*y is shown in the following figure which is hyperbolic paraboloid.
A point (a,b) where \(\displaystyle \nabla f(a,b)=0 \) is called a critical point for the function f(x,y). The function f(x,y)=x*y has a critical point at (0,0). Then,
How to prove that (0,0) is not actually critical point but it is a saddle point?
A point (a,b) where \(\displaystyle \nabla f(a,b)=0 \) is called a critical point for the function f(x,y). The function f(x,y)=x*y has a critical point at (0,0). Then,
How to prove that (0,0) is not actually critical point but it is a saddle point?
