Find and classify the critical points in the function:
f(x, y) = x^3 + 6xy + 3y^2.© BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddf
First we find the first partial derivatives:
Note that df/dx and df/dy are actually the partial derivatives.
Now we put these two terms equal to zero and solve for x and y.
3x^2+6y=0 ---> y=-x^2/2
6x+6y=0 ----> y=-x
This solution shows how to find and classify critical points with step by step calculations and the answer.