How to find and classify critical points of functions

This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

[bdestena]

Ws in the chat this shit fire bro still helping ppl out 13 years later!!

[aussie]

Thankyou! <3 You've brought me one step closer to passing my exam haha

[zidino]

Hi sir, what are the other methods to determine the nature of crit points if the 2nd derivative test failed?

[UmairAbid]

Hey thank you so much, I was struggling with it but now its all clear :)

[DrChrisTisdell]

@shaheenhearts It's either case (iii) or (iv) from the video around 11:00.

[tanakazimuto]

thank you very much for your clear explanations

[DrChrisTisdell]

Hi - thanks! Hope you also find me new free ebook of some use. The free download link is in the description.

[shaheenhearts]

one of the question i have shows that i either have a local min/ max, but the to determine which one i sub in (0, 0) my critical point and get fxx=0. I dont know what to conclude :|

[Footyislife]

you made that very transparent, thank you!

[AlexandraMeier]

arhhhh trying to do the last question you gave! whats the answer?? i feel like i got it completely wrong :(

[mikkiwhistler]

what are the other ways we can classify the critical  points if D = 0? 

[DrChrisTisdell]

Hi - the answers are in my ebook. The free download link is in the description.

[DrChrisTisdell]

Listen to what I say at 03:17 to see why we can't get x = -1.

[DrChrisTisdell]

@sriv1211 It is because I am half man, half wookie.