Science:Math Exam Resources/Courses/MATH200/December 2013/Question 03 (a)/Hint 1

The method of Lagrange multipliers requires you to determine the critical points of a function F having the form

$\displaystyle F(x,y,z,\lambda )=f(x,y,z)+\lambda g(x,y,z)$

where f(x,y,z) is the function that you are trying to optimize and your constraint is expressed as g(x,y,z) = 0.