Here is the function: . How do I verify that is the absolute minimum and there are no others? The function above stems from another function in which I found the partial derivative and completed the square yielding the above result.
Here is the function: . How do I verify that is the absolute minimum and there are no others? The function above stems from another function in which I found the partial derivative and completed the square yielding the above result.
For an absolute minimum we have
Now equate each component and try to solve the three equations simultaneously for x, y, z.