Local Maximum and Minimum Values -Function of Two Variables

[@Childsd]

@patrickJMT haha, not what I meant. I'm planning on spending about 8 hours total today studying alongside your videos. So to be clear, it does NOT suck! Just admiring good penmanship

[@patrickjmt]

youtube had a note that youtube links from other websites were not working for a few days for some reason, but are fixed now, so i guess that was the problem. the website should be ok now! hope things are ok in singapore!! ( ps i would looooove to visit! : ) )

[@KoolioJosh]

learned this whole section in 20minutes compaed to my prof's lecture.. of 2 hrs

[@sulmazz]

Everything about regarding and surrounding Mr. Patricks videos are amazing, only reason im passing engineering calculus. Thank you :)

[@Amirhesamyan]

You Are Awewsome, after taking advance math classes (500 math classes) now I understand calculus

[@patrickjmt]

@ismekin yup

[@patrickjmt]

@Childsd glad the rest of it what i have sucks

[@ImJayceeYO]

I don't understand why Calculus teachers can't teach like you. Don't know why they makes things so complicated, yet you make it seem so simple =\

[@TestMonkey254]

YOU ARE A GOD seriously my calc prof isn't even this clear thank you!

[@itsvanessaangelina]

@patrickJMT I love your sense of humor.

[@kamalesha.p6965]

Please come as a math professor in our college

[@suckyouinthehole]

D(x,y)=0 iff the quadratic form associated with the Hessian is 0; thus, Hf(a) is called semi-definite, and the point a is degenerate. The second derivative test gives no results, so the only way to determine if a is a local max/min or saddle point is to investigate the sign of f(x)-f(a) in the neighborhood of a. hope this helps.

[@RyoHazuki15]

Fxy is calculated by taking the derivative of fx with respect to y. Fx= sin(y). Thus Fxy(The derivative of x with respect to y)= cos(y)*1. Fxy=cos(y)

[@yoyaya007]

thank u man this is very helpful especialy for students like me that do not go to their courses!!

[@patrickjmt]

dont know what the problem is... the website is up and running to me?!?! : )

[@patrickjmt]

yep! if ya get the basics, the rest is easier : )

[@patrickjmt]

thanks!! : )

[@ismekin]

thanks alot! btw do you have any videos about absolute maxima and minima on closed bounded regions?

[@bboydjoe]

@ismekin yea that would be using lagrange multipliers

[@belliveau5]

If you check first for your partial with respect to y, you'll find that either x=0, or cosy=0.. so y=npi/2... why not consider that?

[@patrickjmt]

viva austin!

[@vabs9211]

excellent mate!

[@jons2749]

Really Great Video, thank you so much bro !

[@Nandine2]

great video

[@Childsd]

You have really good handwriting. That is all.

[@Okami87]

good job very helpful!

[@lisinka3]

Patrick, is there is a similarly general way to optimize a function of more than 2 variables? Or would I have to use a computer?

[@jballa425]

patrickJMT So to find the critical points you must set each partial equal to zero then plug the values you find into the other partial equation set equal to zero?

[@kaan0999]

What happens if D>0 and fxx=0

[@ThatBigCactus]

i think that means inflection point

[@88omarz]

hey can you do this question 3xy^2=2z^3+2y+5 i need to find gradient determind the critical points and sketch the curve

[@opposumpossum8217]

sorry, im a little bit noobies here, is this still the 2nd partial derivative test or method using lagrange multiplier?

[@MFGBG123]

Does this work for functions with more than two variables?

[@lisinka3]

What happens when you have a function of n variables, where n > 2 ? Thanks.

[@mohammedwaddah2842]

What happens when D(x,y) = 0?

[@wadexism]

Ah! I see . Thank you :)

[@omarommg]

what if D = 0, I know then I can't use the 2nd derivatives test so what do i do?

[@wadexism]

Hi Patrick, how do you get the fxy=cos(y)? Thanks

[@ansaryounas117]

In fxy, we are taking derivative of fx with respect to y

[@wandifajarjou505]

Why no product rule?

[@suckyouinthehole]

its called semi-definite

[@Real_Tf]

How we calculating the Fxy?????

[@ansaryounas117]

In fxy, we are taking derivative of fx with respect to y

[@mahaagh2078]

What happens if D=0 ???

[@az93850]

it mean that is inconclusive at point (a,b) and we must try other ways at (a,b)

[@mahaagh2078]

BLACK WATER thanks 🙏🏻!

[@mahaagh2078]

I love you more than my self 😩💘

[@abdulbasitimtiaz]

Oh calculus oh calculus Go to hell...

[@loveislife77]

Only Jesus saves. Though patrickJMT is extraordinary :)

[@Jennifersmith1596]

i dont get this. -__- im stupid

[@mariomaruf]

They're advertising female cycle control drugs on your videos.