L'Hospital's Rule - Indeterminate Differences

[VidalesJorge]

One other thing on minute 5:55 you multiply by x/x, when you do so, you get x-1+xlnx in the denominator, how do you get that? if you multiply (1/x)(x-1) you get, x-1/x, and if you multiply this by x, this does not give you x-1, I am pretty sure there is something im not seeing here, i know that you can multiply first the x and then the x-1, and that way you would get x-1, but how do you go from multiplying 1/x * x-1 = x-1/x * x = x^2 -1/x = x-1/x= -1 to x-1?

[VidalesJorge]

In your first example, when you factor out x, can you just simply put that in the denominator, then use L Hopitals rule to get 1/-1x^ -2, then factor out this to get, -1x^2, and then apply the limit, which would go to infinity as well?

[Diamond52894]

excellent! u helped me sooo much!

[whatisthedealwithdat]

Thanks, this helped a bit.

[TheKaveshan]

Thanks Patrick. All those missed lectures can be made up by your vidz.Really appreciate it.

[iCHAINSAW]

"Damn this graded homework is due in 20 minutes, how do I do this problem"

Patrick works the exact problem I have in my homework

"Oh, that's how you do it."

[patrickJMT]

@iCHAINSAW ha ; )

[barbaric37]

thank you so much! you always have the perfect videos to help me out when I'm stuck.

[patrickJMT]

@barbaric37 tons of calculus stuff, so come back any time : )

[fmkk2000]

great videos but its l'hopital's rule not hospital's, funny I made the same mistake...

[HoboJoe2193]

@fmkk2000 Actually L'Hopital is french for "the hospital." Makes that mistake even funnier:p

[TheRoadofDestruction]

@fmkk2000 Well, if you're writing it as L'Hopital's rule, there has to be an accent for the "o", which I guess you cannot add on YouTube (not sure!). And since Hopital translates to hospital, you can for convenience sake say L'Hospital or The Hospital's Rule

[patrickJMT]

@fmkk2000 i guess the guy who has written the most popular calculus textbook in usa also does not know how to spell it after his 8th edition

[dragooner4]

wait wouldn't infinity times infinity be 2 infinity? 

[jayronsoares]

Patrick, Awesome, you should come to Brazil in visit, your math wisdom is an evolution object-oriented =)

[rapzone93]

in which class,in USA, do you learn L'hospital rule? 'cause here in Romania we learn it in 11-th grade.

[TheMexicanRambo1]

@rapzone93 in a math class? because I don't think they teach it in a history class...

[djisomatic]

@TheMexicanRambo1 lol by class he meant grade

[nightlight12340]

@rapzone93

There is no certain grade you learn L'hospital's rule. You have to take Calculus to learn the rule, and not everyone takes calculus in the US.

[InfectedMelody11]

OMG this was sooooooooooooooooooooooooooooo­ooooooooo helpful

Thank you thank you thank youuuuuuuuuuuuu

[anaMohammed100]

5:14 alto  :D

Jk

You're so helpful

[elejalde3]

how much would it cost me to have an in ear mic during my calc 2 exams with you on the other side???

[patrickJMT]

@elejalde3 all the tea in china

[elejalde3]

@patrickJMT working on it

[gmanz5]

@patrickJMT got it

[Raver616]

@elejalde3 why would you have an microphone in your ear?

[MrHoffmannTaiwan]

EXCELLENT! What would take me about 5 hours to figure out, you have made me understand in 30 min! (Indeterminate Products, Differences and Powers!) Done!!!

Thank you so much!

[evilbunnyhinter]

As always, a helpful review video for me and my test.

[StefanandNathan]

Thanks a lot, your videos are great

[VeemanLTTE]

The Prince of Mathematics

[patrickJMT]

ha! that was gauss!

[midnight9wanderer]

I sure you're a much better teacher than Gauss was!

[Osiyor]

On the first example you did, we got the form infinity * infinity. Shouldn't we apply the L'hopital's rule for calculating indeterminate products?

[maha229]

ur great teacher ;p

but wat's L'H

o.O

haven't heared of it b4

[FaiththeHairstylist]

This video helped me so much. I was banging my head for hours on how to do these.

[dragomanrd2]

how do you know when to use the last method in the first example? or how do you know which one to use?

[sgskum]

thanks this really help me

[ascendinfinity]

is this taught in calc 1 or calc 2?

[patrickJMT]

either or... i have seen it taught in both

[RadoAller]

it's taught in cal2!!!

[aqualizard2991]

just like everyone else your videos have saved me...if i was up to me u would be a millionaire, for all the help you have given everyone lol..unless you are already rich haha but seriously i am so grateful!!=)

[patrickJMT]

hahah wonderful : )

[isoman2kx]

I think it's the whole phenomena of someone teaching it a different way and sometimes a much more understandable manner that makes us students want the person teaching in the videos as our own teacher.

Who knows patrick could secretly be satan when he teaches in real life ... which is the most logical conclusion of course :)

Seriously though man, great work. Like I said before thank you for not babying those watching the videos with nothing but easy problems.

[patrickJMT]

i am a tough teacher : ) tough love, tough love

[aranda89]

Wow thanks to your videos I was one of the 3 students to score over a 100 on a quiz! Thanks and please keep posting them up!

[patrickJMT]

very nice : )

keep up the good work!!

me make me so proud!

[mrgatorland]

this is awesome, great refresher for me, thank you.

[SaMatta87]

Doing stuff like this along with integrals gives me nightmares :[

[patrickJMT]

if this is the scariest thing in your life, you are lucky : )

[SaMatta87]

Well, if you want to talk about "scary" you should see my class's average in calc II: 66% (the whole class's average). YIKES and I have an exam tomorrow on these integrals Thanks for making the vids!!!

[hockeyfan123455]

If you think 66% is bad, in my Calc I class the last midterm we had the class average was 40%! Teacher sucks... It would be awesome if we had Patrick, but atleast I get to watch your videos! Thanks

[patrickJMT]

hhahahaha! you all would say the EXACT same thing if i were to be your teacher, 100% guarantee it : )

[hockeyfan123455]

nahh, I couldn't understand a word what the teacher was saying. I entirely depended on your videos and managed to get 70%. But, the class marks were so low, the prof scaled it down and I ended up with 80% :) Prof does make a BIG difference lol! Thanks

[joojoo00oo]

how come u r allowed to change the question into division form ?

[patrickJMT]

cause the are equivalent if you 'undo' the division