Write the Lagrange system of partial derivative equations.

Question

Quizplus · Accepted Answer

The Lagrange system of partial derivative equations is used in optimization problems to find the maximum or minimum value of a function subject to constraints. The specific numbers and letters in the given options do not provide any indication of which equation represents the Lagrange system. Therefore, the correct choice is based on recognizing the correct format of the Lagrange system, which is:

∂f/∂x = λ ∂g/∂x
∂f/∂y = λ ∂g/∂y
∂f/∂z = λ ∂g/∂z
∂f/∂λ = g(x,y,z)

Option C is the only one that follows this format with the given set of equations.

Write the Lagrange System of Partial Derivative Equations