Returns the Extreme Value of the f (x, y, z) function under the condition (x, y, z) = 0 by using the "Laplace multiplier method,
The method (STEP) is:
1. Do the Laplace function L = f (x, y, z) + λ (x, y, z ).
2. Evaluate the partial direction of X, Y, Z, and λ, obtain the equations, and obtain the p (x, y, z)
If the maximum or minimum value of the actual problem exists, generally it is unique in the field, so the greatest value can be obtained.
Conditional extreme values can also be solved as unconditional extreme values. However, some conditional relations are complex, and substitution and operation are complex. In contrast, the "Laplace Multiplier Method" does not require replacement, which is easier to perform. this is
Yes.
The condition θ (x, y, z) must be an equation and can be set to θ (x, y, z) = M.
Then create another function g (x, y, z) = PHI (x, y, z)-m
G (x, y, z) = 0, replace (x, y, z) with g (x, y, z)