Section 14.8: Lagrange Multipliers
Exercise 10
Find the extreme values of \(f(x, y, z) = x^2y^2z^2\) subject to the constraint \(x^2 + y^2 + z^2 = 1\).
Find the extreme values of \(f(x, y, z) = x^2y^2z^2\) subject to the constraint \(x^2 + y^2 + z^2 = 1\).