Finding Critical Numbers - Example 2

[oleboy96]

I´m 15 years old and this is verry helpfull in calc!!!!!!!!!!!

[do3a2e]

i think u have a mistake on -4 and +4 cant be because they are undefined on the derivative

[JustinDTran]

I always end up just sitting there and doing whatever I want in math class, never listening to my teacher. Then I watch these YouTube lectures and I ace all the tests. :D

[landmatt24]

Thank you so much! my cal 1 teacher is a physicist from Africa with horrible handwriting and thick accent. Your videos are clearing everything up for me. Getting my BA from Youtube. lol 

[aminsmth]

I take care of my exes ;)

[treefilly]

thanks alot my Calculus AB teacher sucks as well... you make this so much easier

[AllanUtubes]

you my friend are a genius. if only my calc teacher was as thorough as you. 

[IRANisPERSIA1]

hey patrick did you trim your arm hair in this video?

[patrickJMT]

@IRANisPERSIA1 i am pretty sure i have never done such a thing. maybe it was some little fairies that floated in my window at night while i slept...

[cmgreen4]

@patrickJMT LOL trim his arm hair...probably just different camera quality/lighting

[Vtgreen24]

He's left handed. That must help him in his math career.

[patrickJMT]

@Vtgreen24 yes, it must be the left hand, not the thousands of hours of studying.

[saniyeleenatalie]

Visit Alaska. I will give you smoked Salmon and bake baklava. :)

Your brain needs energy after 1,204 vidoes

[khwezi1986]

u lost me

[khwezi1986]

@khwezi1986 got it

[RaisinBagels]

at 1:53 how did you cancel out a 1/2 and a 2???

[terrygrada]

@RaisinBagels 2 times a half is equal to 1. multiplying by 1 doesn't really do anything so you cancel out the 1 half and the 2.

[zon723]

thank you SO much sir, I've a test tomorrow and you really really helped me :D

[testrunning]

Thanks for the upload my calc teacher sort of breezed through this section and I didn't really know which numbers were "critical numbers" or not. Now I do.

[RescuePits1]

AT 3:55, I'm not sure how you got that numerator? Scratching my head?!/?

[metalenema]

@RescuePits1 pretend like the parenthesis aren't there, (16 - x^2) - x^2 is the same as 16 - x^2 - x^2 because there is no multiplying, only subtracting.

[metalenema]

@RescuePits1 c

[chbobcats20]

@patrickJMT Thanks for the help in my classes, I hope to be half the math teacher you are!

[awesome9999able]

Hi, would you please explain for me this problem: (a) find the critical numbers of f(x) = x^2/3 (x-5); (b) find the critical numbers (x-1)^3(x+3). I'd really appreciate your explanation. :D

[420BurnaBlunt]

This video helped me learn THANKS!! Aso, your videos are the only ones I DON"T MIND waiting through an advert. to watch haha

[jrliriano]

+- squareroot of four, should have drank that coffee ^_^

[krumpboiruthless]

at 1:54. why did you cancle out the 1/2 and the -2? I got lost right there. and also how did you getthe square root of 8 at 5:17? got lost there also

[krumpboiruthless]

at 1:54. why did you cancle out the 1/2 and the -2? I got lost right there

[Airmaverick11]

If youre ever in Oregon, i'll bake you a cake.

[patrickJMT]

@Airmaverick11 sounds sweet!

[DJDibyashwor]

@Airmaverick11 thats nice of you... yup... i appreciate such mathemattical helps which stuck the mind like a rubber :P hehehe :)

[killingyall4fun]

Well i have a 64 right now in calculus after the first three weeks and i can't drop it.... time to see if everyone is right in saying you're a genius and can help everyone. I hope they're right! So far vids are actually helpful :)

[patrickJMT]

@killingyall4fun it is amazing what a bit of resourcefulness and studying will do

[animefan143]

thank you dude. =)

[framar2010]

everyone makes mistakes! no need to say u're sorry! i still think u're a genius and the best for helping me get an A! wuuu!

[patrickJMT]

@framar2010 just trying to keep everyone from being confused!

[cinematics321]

@patrickJMT I've been wwatching your videos for awhile now. Thank you!!! Very appreciative of you. and You're so nice.

have a question, when you factor the derivative can you write it like this

==> (16-x^2)^-1/2 [ - /x^2 (16-x^2) ]??? No right?

[CALLOFDUTYisBAD1]

cheers for dis blud i got 97 in ma ap calculus innit vo it wunt ard or owt rolf.

[zoom2121]

wow this is great

just wondering how will I be able to find abs max or abs min?

[DaGame88]

man this got real confusing i will have 2 watch over 4 times but great work your really really doing the college kids, a big favor, most colleges professors are from different countries this is straight-forward and it works!!

[kc243243]

good vid!

[Seanpitcher007]

Seriously man, these videos are so great and such a great help, you are saving my butt now that I'm doing Physics w/calc and dont remember everything!!

[sanda2430]

You're awesome

[Danasqu]

I wish you r my teacher .. I think I'll get A so easy !

That's really helpfull

thnx !

[MetalDraciel]

wait wait waittt !

isnt the product rule

the 2nd derivative times the 1st + the 1st derivative times the 2nd ???

im so confused ! =[

[333329753]

@MetalDraciel

sorry pressed that by mistake :(

:D:D sorry again ...

[Connroy17]

@MetalDraciel No, the product rule is the (derivative of the first term times the second term) added to (the first term times the derivative of the second term).

[reck1ess77]

BAHAHAHHA im good at math once again!!

:)

[TiduStrife007]

thanks for the awesome videos as usual. very clear and informative.

one thing i would like to point out though: in the last 3 seconds, you mention the critical numbers to be "positive or negative SQUARE ROOT of four".  the square root shouldn't be there. just wanted to point that out so that others might not get confused by it.

[flippydoll]

Hey, i just want to tell you that you SAVED me, are SAVING me, and possibly... WILL SAVE me.

since this is math, don't mind the grammar.

thanks!

[petoria555]

Thank you

[8brownsuga8]

omg you have no idea how much you've just cleared up!! thank you so so so much!!

[xxandileqxx]

i dont know what it is about you but you are such a great teacher, haha.

know any organic? ;-)

[19shaggy88]

sound likes your in the same boat as me, im in ochem and calc :-(

[darksahara8993]

wait how did he get 2x^2 on the top on the last step before he erased the board again?

[trunker420]

just move the vid back a bit LOL dork.

[darksahara8993]

lol of course I replayed it but he didnt describe how he got it. Though I figured it out I accidentally multiplied the answers than subtracting it. ( when he seperates the bases with the extra stuff)

[torgausen]

I wonder if g'(x) might be undefined for all values x >= 4, since then we get imaginary denominators?

[hanalul]

Thnks!!!

[sleepingbeautyy6]

It Really Helped me...

THANXXXX alot !

[Richmast3r99]

I LOVE YOU MAN

[parvinhasan]

thanks for ur help..i really appreciated it..

I got 94 in my AP calculus class..

[patrickJMT]

congrats, that is a great score!

[Thebadfx]

very helpful, thank you.

I wish my calc teacher was as thorough as you are.

[stefanmartensson78]

@Thebadfx I second that!! My teacher sucks! Not approachable after class either :(

Thanks Patrick!

[TheMrminionman]

@Thebadfx I wish I could hear my calculus professor :(

Youtube > Lectures-in-person

[vietchicken]

Thanks this helped a lot :D I actually understand now!

[patrickJMT]

excellente!

[caryrios]

so lost, i normally don't get lost with your videos but this one really confused me.

[patrickJMT]

sorry! watch it again : ) and try to 'undo' what i do!

[vash01000100]

helped a lot

[patrickJMT]

excellent

[omarjnc]

¡Muy bueno! Gracias.

[patrickJMT]

happy to help!

[duderino987]

good explanation better than my teacher...

Thanks