Question

The function g(x,y) = x^4+y^3 has a critical point at (0,0). What sort of critical point is it?

Answer 1

derivative is 0 at that point i think..looking at the graph soo

Answer 2

There is suppossed to be some kind of method to determine this

Answer 3

yeah i cheated, i'm not this far into calc yet roflmao

Answer 4

wait, roflmao don't you just plug in the values? you get 0 + 0

Answer 5

that's the "0" critical point (no idea what the term is) as opposed to the "does not exist" critical point

Answer 6

zarkon can u help me?

Answer 7

you could try the 2nd derivative test...but it will fail

Answer 8

looks like a saddle point to me

Answer 9

well its a saddle point i think

Answer 10

i dont get it

Answer 11

if you fix x at zero and let y range then you get

if you fix y at zero and let x range then you get

Answer 12

ok

Answer 13

looks like a saddle :)

Answer 14

thanks

Answer 15

np