Question

anyone know anything about critical points, (several variable calculus module). I have a quick question.

Answer 1

yeah

Answer 2

i know that to determine them you need to find the first derivative right.

Answer 3

but what happens with a function that does not contain any joint terms, i.e \(x^4-2x^2-2y^3+6y\)

Answer 4

or the hessian too

Answer 5

would the critical points be each one of the possible x points paired with the y point?

Answer 6

no, you would have to test manually.