 #1
gassi
 3
 0
Homework Statement
Find and classify the critical points of f(x,y,z) = xy + xz + yz + x^3 + y^3 + z^3
Homework Equations

The Attempt at a Solution
df/dx = y + z +3x^2, df/dy = x + z + 3y^2 and df/dz = x + y + 3z^2
a point x is a critacal point if the gradient equals 0.
Obviously (0,0,0) is a critical point but I´m not sure how to find the others.