L'Hospital's Rule and Indeterminate Quotients

LuckyNumberAce Says:

Mar 14, 2012 - "You might sometimes see l'Hospital spelled as l'Hôpital, but he spelled his own name l'Hospital, as was common in the 17th century." - Page 299, "Calculus: Early Transcendentals" 6th Edition by James Stewart.

LuckyNumberAce Says:

Mar 14, 2012 - "You might sometimes see l'Hospital spelled as l'Hôpital, but he spelled his own name l'Hospital, as was common in the 17th century." - Page 299, "Calculus: Early Transcendentals" 6th Edition by James Stewart.

JordaNoceros Says:

Apr 3, 2012 - It is spelled and pronounced L'Hopital's rule, the guy was french, but a lot of english text have it spelled differently, the "s" is silent. wkipedia is wrong. and you should never use it as a source @LuckyNumberAce

BalrogtheMaster Says:

Apr 6, 2012 - LOL, are you guys really arguing whether a letter is in a word or not?

karolinkaspiano Says:

Apr 13, 2012 - currently studying for my calc I final. after reading so many textbook and note pages, this is a great alternative for my review. thanks a bunch :) your videos are a great help :D

Jean1juan Says:

Apr 15, 2012 - is derivative of 2e^x a product rule?

dassix1 Says:

Apr 17, 2012 - o0o00o BURNED

AllanT101 Says:

Apr 19, 2012 - my calculus book says L'Hôpital's...

leaiswonderful Says:

Apr 19, 2012 - please call is the natural log... not the ln of x

XkabiX Says:

Apr 23, 2012 - it can be written as he mentioned, just the s is silent. no ones wrong here.

CuriousKirchhoff Says:

May 2, 2012 - Aahh!! well it is written in two ways...first one L'Hospital's Rule & other one L'Hôpital's rule...the basic idea is that you write in two ways..but you pronounce it as "lopi'tal"...& Patrick is not wrong..generally people write it as L'Hospital's Rule... !!!! & if anyone still has some problem then yo can call it Bernoulli's Theorem as Johann Bernoulli is believed to be the real creator of this rule.... PHEWWWWWWWW :P ! BY D WAY NICE Video!

IonCruiser Says:

May 4, 2012 - Both work. The "s" is silent, anyway.

MrMlioon Says:

May 7, 2012 - الله يجزاك خير ..

bebelovebobo Says:

May 10, 2012 - its L'Hopital :D no s

blackmind981 Says:

May 11, 2012 - i love u

Kaisodian Says:

May 13, 2012 - If you have a look at the front cover of Marquis de L'Hospital's calculus textbook "Analyse des Infiniment Petits" (which was published in the year 1696), you will notice that he spelled his own surname "L'Hospital". This was the common spelling of the name during that time. Funny enough, the rule was actually discovered by the Swiss mathematician Johann Bernoulli.

aaron22555 Says:

May 16, 2012 - you should change the JMT to GOD

BER2ERKER Says:

May 20, 2012 - Wow, people on YouTube are extremely irritating. If you don't know what you're talking about, don't comment and attempt to correct a guy like Patrick. You're all wrong, and several people have adequately shamed you already. Yet people repeat the same comments over and over, as if fifty people haven't already posted it. And to the "ln of x" guy; ln(x) stands for natural log, obviously, as you seem to know, and so people say ln of x. You're just super trolling there. Trolls, trolls, trolls, the n

C0ldBloodedMofo Says:

May 20, 2012 - very helpful, thanks

Kaisodian Says:

May 22, 2012 - Yes, but the answer remains the same. Remember that the product rule states that you must multiply the first function with the derivative of the second function and add that to the second function multiplied by the derivative of the first function. In this case we can view 2 as our first function and e to the power of x as our second. So if we take 2 and multiply it by the derivative of e to the x, and add that to e to the x multiplied by the derivative of 2, we still get our original answer

Kaisodian Says:

May 22, 2012 - ......because the derivative of 2 is zero, so our second bit of information (the e to the x multiplied by the derivative of 2) cancels out leaving us with the 2 multiplied by the derivative of e to the x.