1. The problem statement, all variables and given/known data Minimize xyz on the unit sphere x2+y2+z2=1 2. Relevant equations Lagrange Method. 3. The attempt at a solution My attempt so far.. Im trying to follow the lagrange method I set f(x,y,z)=xyz and g(x,y,z)=x2+y2+z2-1 g(x,y,z) = 0 I took the gradient of both functions Δf(x,y,z) = (yz)i + (xz)j + (xy)k Δg(x,y,z) = (2x)i + (2y)j + (2z)k Then set Δf(x,y,z) = λΔg(x,y,z) Giving me the following yz = λ2x xz = λ2y xy = λ2z After that i am not sure what to do. Please help.