f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 + 8
Find the local max, min and saddle points of the function.
So far, I have:
-partial derivative of x= 6x^2 + y^2 + 10x
-partial derivative of y= 2xy+2y
But I'm really confused what to do next. My book says to set both of the partial derivative equations to 0 and then solve for one of the variables, but I get some weird answer that doesn't work in both equations.
Thanks so much for your help!