Find local minima and local maxima of the function \(f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }\) on a surface defined by equation \(\displaystyle \frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } + \frac { z ^ { 2 } } { c ^ { 2 } } = 1 , 0 < a < b < c .\)
Extrema of $x^2+y^2+z^2$ on an ellipsoid
P-TRIV-RA09
- Area
- Real Analysis
- Status
- draft