A must watch Calculus series for all who are studying this subject. Clear presentation that includes organized content in a textbook format with intelligent, concise and step by step explanation of concepts and worked out examples. I enjoy learning from these videos. Thanks.

I love you, Professor Dave. I was teaching face-to-face classes with pencil-and-paper homework, just like back in the day, when suddenly, due to Covid-19, my classes are all online. I can make reasonably good math instructional videos, but not fast enough to keep up with four different courses in real time. I've been wandering KZread looking for good math videos to fit my learning objectives. This one is great. Thank you. --Professor Lisa.

Your channel is absolutely amazing! Thank you for helping students everywhere!

Learning calculus for free is so enjoyable. Thanks Prof Dave!

Great video. You taught the rule in a way that saved me from going to the Hospital, lol.

I m from India 🇮🇳🇮🇳watching your lecture your videos very simply explain me the topic thank you so much sir for your efforts 🙏🙏🙏🙏🙏

Thanks a lot for organizable, understandable and excellent explanation!!

thank you professor Dave i got these lecture after 4 years at the day you uploaded and helped me to understand l'hopital's rule thank you again

no words can describe how grateful I am prof ❤

Finally understood lopital rule after HOURS. Thank you professor!

Thanks Dave!

This rule is just so neat!

Thanks a lot for your wonderful explanation..Now I am confident with this concept. 🇮🇳

Thx for everything ♥️

this is absolutely awesome thanks man

i've definitely subscribed , it helps me more than it helps you for sure!!!

Thank you sir...!! Its easy to understand properly

From your lecture I got to know many things. ❤

Thank you!💜

Your explanation is very nice professor ☺️

thankyou so much bro!

Perfect teaching totally understood

Thanks

No one can teach as like u sir😁😀😂😀👍👌

Your all videos are so informative n easy to understand.n tomorrow is my exam 😅. Writing this bcz these videos helped me a lot.love from india❤️.

You're the great sir dave

Thank You! It was great!

Thank you Professor Dave, please may you talk about the origin and the statement of L'Hospital rule.

Thanks so mach Thi is an important Concept in Learning Limit❤

Thanks love from India!!

many many thanks

I love you professor, you always get me out of trouble, hope I meet you one day to thank you f2f

Thanks for the online lecture man! My teacher at school is so hopeless, she couldn't taught L'Hospital because there's no L'Hospital explanation on textbooks

@Lostwolf16

5 жыл бұрын

lol, that would have sucked bad. I did had good lecture and note but the teacher pulled Eminem on us so hard to understand the lyrics

@vunguyen2246

5 жыл бұрын

@@Lostwolf16 :')

I finally get why asymptote of the range of function is that!!!!

@JinkunYan

2 ай бұрын

I am so happppppppppppyyyyy!!!!!!!!!

This man is a hero!

Excellent

i love when some other smarty has done the maths to explain something that makes sense logically. I remember working towards this in a calc class back as a group in the day, before we worked on this.

Thanks sir your my hero

You save me from Hospital

thanks again sir

@0:25 By sandwich theorem isn't it =1

The best professor in the woooooorld we love youuuuu sir 🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹

Thank you sir

Thank u sir!

Wow! I finally get it!!!

Many many thanks, sir !! I am gonna recommend this playlist to all the suffering 11th grade friends i have xD

YOU SAVED ME

Amazing

love you dave

thanks

Could you go over indeterminate products please?

i loved it

Thank youuu 🤗🤗

@tse278

5 жыл бұрын

stupid girl

@Jason-rd1ev

3 жыл бұрын

@@tse278 bruh moment 69420

love you sir

Super sir

Good. But is it logical to use L'Hopital's rule to find lim sin (x)/x, as we must know the limit before we differentiate sin(x)? There're so many similar examples.

So we can't use the rule for the infinity over (infinity - infinity) ? Or we have to make this form infinity over infinity and the solve by L'Hospital?

Thank 🥰

what about when x approache to zero for absolute value of x over x does the rule work?!

I don't understand the last exercise (ln x/x^2): When deriving once, I get (1/x)/2x. However, the 1/x then gets derived to - 1/x^2, and I don't see where the minus sign went in the answer? Altough I get that your answer must be right since the function is curving up and not down and so it makes sense that the second derivative is positive when x -> infinity. Can anyone explain?

Question regarding the limit of x(ln x) = 0, the graph of that function shows there is no limit from the left side, which is why you approached the limit from the right side, but I thought the rule of limits state that a limit can only exist if the limit exists from both sides? There is the limit of peace-wise functions but that still requires the limit of both functions to exist from both sides. I am just assuming there is some limit rule I am missing. Would you be so kind as to elaborate on this?

I am 10 years old and finish the whole calculus course smart ha

@zzz9899

2 жыл бұрын

पागल हो क्या

what if g(x)=1 for example and we apply this, we get f'(x)/0 if defined then it's infinity. just guessing not sure, HELP

You're awesome

@tse278

5 жыл бұрын

very bad

Professor thank u, From 🇮🇳 India😢

this channel def the best at explaining shit

Great

Lim (x->inf, (x+cos(x))/x ) is indeterminate, but L'hopital's rule fails.

Hi. Have seen recently an MIT video which shows a failure in L ´Hospital rule. Lim for x tending to infinite from (x + cos x) / x Thanks I admire your videos

@NoActuallyGo-KCUF-Yourself

Жыл бұрын

Did you mean (x + sin x) / x? (x + cos x) / x does not apply, because it does not produce an indeterminate form. L'Hopital's rule didn't fail. The failure was attempting to use it when it doesn't apply.

For the question 1 at the end, why does limx->∞ 2x-9/6x+7 = limx->∞ 2/6 ? what happened to the -9 and +7 as I got to the part where i differentiate n wasnt sure what to do next. thank you for the great vid anyways

@designingworld6611

2 жыл бұрын

He took the derivative again derivative of 2x-9/6x+7 = 2/6

You can't use L'Hopital's rule prove that lim (sin(x)/x) as x-->0 = 1. That's a circular argument because in order to prove that the derivative of sin(x) is cos(x) you need to know what value is lim (sin(x)/x) as x-->0.

@ProfessorDaveExplains

3 жыл бұрын

What? Check out my tutorial on derivatives of trigonometric functions. You just plot the rate of change of sine and you get cosine. It couldn't be simpler.

@marpin6162

3 жыл бұрын

@@ProfessorDaveExplains I was trying to say that we can't do a formal demonstration of the derivative of sin(x) using l'Hopital's rule. I didn't mean you did it on this presentation. btw, nice video and training exercices

I thought this was going to show why L'Hopital's rule works (graphically? I don't know).

What I don't get is this: in the first example of sin x/x, the limit here is the definition of the derivative of sin x at x=0. Then in the same line he writes down cos x as the derivative of sin x which he's not supposed to know as that is exactly the thing he is calculating. Isn't he making justified assumptions?

@ProfessorDaveExplains

4 жыл бұрын

look earlier in the calculus playlist for a tutorial on finding the derivatives of trigonometric functions, it's quite well derived

Which hospital is that?

@celesteadeanes4478

5 жыл бұрын

It’s the one in France

@VeritasEtAequitas

4 жыл бұрын

The one you go to when you think about this too much and get an aneurysm

Hey Dave, I'm a bit confused Why didn't you use the quotient rule to solve for limx->0 (e^x/x^3) Thank you, hope to hear from you soon

@SamLuv07

Жыл бұрын

Rule applies only for when you take derivatives of quotients not for limits. 💜

Sir if it is 0/infinity or infinity/zero,,would we apply the L.rule?

@cristiansantos5070

5 жыл бұрын

Topi Ado no sir

@topiado2073

5 жыл бұрын

@@cristiansantos5070 girl#me

@cristiansantos5070

5 жыл бұрын

Topi Ado sorry!

@justabunga1

4 жыл бұрын

0/infinity and infinity/0 will yield the limit to be 0 and infinity. An example of these function would be y=ln(x)/x and y=x/ln(x) as x goes to 0 from the right respectively. The limit would go to -infinity and 0.

Done.

How to define a limit using real life examples

@ProfessorDaveExplains

5 жыл бұрын

there are no real life examples! this is mathematics.

@gokulabisheak3653

5 жыл бұрын

There is no real life use, it's pure mathematics, but limits are the answer we get when we substitute the closest value to the variable, when we won't get a definete value when we substitute the exact variable.

@brittniep9219

5 жыл бұрын

It's important but really often more background for integrals and derivatives which 100% have real-world applications :)

just came to know how to pronounce this word !!

i think the second comprehansion questoin is wrong because its ans is not maching mine i have done several times

good sir.

4:28 I guess here L'hopital rule will also give correct answer .

Bro casually solves infinity 🎉

i love infinity

How computer and human solve the no solution problem?

I wrote it.

Thank you jesus

I dont know why sinx derivative to cosx

@ProfessorDaveExplains

3 жыл бұрын

Check out my tutorial on derivatives of trig functions, I derive them graphically.

I am in class 11 i am from india It is not in our syllabus but we use this as a short cut in our syllabus 😎

I still don't get it

@ssaafmoon1998

Ай бұрын

I got it after 6th time 🥹

@ArnavGarg-rl6qh

Ай бұрын

It ain't that hard by solving problems you will understand is better. 😊

I'm didn't know how read and write in English.

i

I must notice that he's not L'Hospital

@ProfessorDaveExplains

6 жыл бұрын

Yeah, I'm Dave. I thought I made that clear in my intro!

l'hospital rule

Why do I pay for university?

Thank you Jesus

@MarianaLafoskayl

2 ай бұрын

Bro wtf💀

L'Hospital? Isn't it spelled L'Hopital?

@ProfessorDaveExplains

3 жыл бұрын

Both are correct actually.

2:15 Actually you can’t use L’Hop here

@Ghostslicer442

4 ай бұрын

how so?

@JinkunYan

2 ай бұрын

You need to give the reason to prove you are right, rather than said' you are wrong'

The end music is trendy shit toilet music. Where can I find it

I have confusion: You said: 0*(infinity) = indeterminate (but 0*any number=0 [right?]) and again (infinity)^0 = indeterminate (but anything raised to zero equals 1, right?) and again 1^(infinity) = indeterminate (but one raised to any number equals 1, right?) So what do you mean by that. In other words what kind of expressions do you call INDETERMINATE?

@NoActuallyGo-KCUF-Yourself

Жыл бұрын

No. Infinity is not a number, so rules of arithmetic do not apply.