all values of (x, y) and λ such that
∇f (x, y) = λ∇g(x, y)
g(x, y) = k
Step 2. Evaluate f at all the points (x, y) obtained in Step 1. (The largest value
is the maximum and the smallest is the minimum.)
The Lagrange Multiplier Method - 2
Note that Step 1 really amounts to solving three equations in three unknowns (x, y,
and λ). The equations can be found by rewriting the gradient equations as follows:
fx(x, y) = λgx(x, y)
fy (x, y) = λgy (x, y)
g(x, y) = k
The same method applies to…
Words 1443 - Pages 6
