More Implicit Differentiation Examples - 3

[libihurr92]

why can't we divide by x before finding the derivative



[patrickJMT]

@libihurr92 no one said you couldn't! : )

[libihurr92]

@patrickJMT I mean the last example I tried it but it didn't work why patrik?

[laluxe1]

you are so awesome..if i never had discovered your videos, i would have failed calculus. Thank you soo much. Love from Malaysia xx

[patrickJMT]

@laluxe1 happy i could help : )

[H0oLIgAnSsRo0lMaRrSz]

does anybody have a good calculus teacher at school?..I know I don't.

[ProjectAwesome1]

hey this was nicely explained. My cal professor is notorious for starting with advanced examples. I don't find that starting with an advanced example to demonstrate the basic ideas, and method is a very good idea (probably why so many people fail...). This, however, starts at a basic level and actually explains each step. Good job sir!

[patrickJMT]

@ProjectAwesome1 thanks for the kind words and i agree: let's start easy and go from there :)

[lozminishcap]

Calc in highschool sucks, but now I understand it!

[classylilashley]

THIS IS PERFECT.

[gethisoverwithit]

i was wondering how u would take the derivative of: (square root x) + (square root y) = 1?

i tried doing the problem many times n my answer does not match up with the one i have in my book, which is -y^(1/2)x^(-1/2) Dx help plz!

p.s: thanks so much for ur wonderful videos =) w/o it my grade would have been screwed Dx

[ronniemonnie]

@gethisoverwithit I got -[y^(1/2)]/[x^(1/2)] as well.

How are you doing the question? Inbox me for help.

[gethisoverwithit]

@ronniemonnie thx for the reply!

can u reply how u solved it here? =)

so everybody can benefit from it, THX =D

[ronniemonnie]

@gethisoverwithit im having trouble posting the rest of the question (an error keeps coming up) So im gonna inbox you the rest of what i was gonna say, sorry i couldnt post it up here =(

[gethisoverwithit]

@ronniemonnie np, thx a lot, this was very helpful!

[ronniemonnie]

@gethisoverwithit

Ok, soo =D

you start off with your x^(1/2) + y^(1/2) = 1

and then you take the derivative, making sure not to forget to place your (dy/dx) next to any y terms

(1/2)x^(-1/2) + (1/2)y^(-1/2)(dy/dx) = 0

now just move all your non-dy/dx terms to the right

(1/2)y^(-1/2)(dy/dx) =(-1/2)x^(-1/2)

[jumpeygirl101]

You're amazing!

You taught me derivatives in about maybe an hour and my prof took about two weeks trying do it and still failed at it :s

Thank you ! :D

[patrickJMT]

@jumpeygirl101 happy i could help : )

[winone01]

I LOVE YOU SOOOO MUCH RIGHT NOW! I went from not knowing ANYTHING, to getting a 97 on our quiz on this! :D

[patrickJMT]

@winone01 that is very good! congrats ; )

[hotfusion0]

i love you. i want your babies.

[lmorrow6421]

way better than my calculus professor at psu

[SuperOmicron]

What if you need Implicit differentiation with x,y,z and not only x and y??

[polozine]

Wow, Mr. Patrick, you really have saved us once again, especially me personally. I walked out of the BC Calculus class REALLY confused on Implicit Differenciation and you really opened my eyes and made everything SOOO clear and EASY!! Thank you, and I have an exam in the morning!! :) Thanks so much again, you saved me one hour of lecture!!!

[tylerd827]

saved my ass

[The5854213]

Hey, I had a question that I can't seem to go about, how would I get the derivative for:

3x^2 + 4x^3 = 9 and x^3 + y^3 = 6xy? (these were two different questions I really couldnt get my answers to match with)

It'll be great if you could get back to me with how to go about it...Thanks for the videos thourougly helpful =]

[MrHoffmannTaiwan]

Another EXCELLENT video and explanation!! Thank you so much! If you ever decide to teach again in a classroom, your students will be very lucky!!

[MrPiPPo]

St. Patrick's day is dedicated to you.

[dinkydodgem93]

didn't find this constructively helpful, for me it didn't seem like you were explaining your actions enough for everyone to understand, kinda just seemed like you were going through the motions and hoping that people will watch and say "Oh I get it now!", i dont doubt that you are intelligent and know what your talking about but aren't these videos about helping people understand these types of questions?

Clearer explanations please thanks :)

[adolf781]

you miss the "X" at "3X"...

[humanityexists]

well done for 10 minutes. i may actually be able to do implicit differentiation now

[DanaSiew]

wow. i actually understand. its amazing. :O

[spliff42007]

atta boy patty

[jadef7]

seriously man. this is a major help. its so simple when i see your perspective and your ways and methods of solving things . thanks so much ap test on may 4th.

[Schism337]

I wish i had good handwriting like you lol. It would make organizing and reading my problems so much easier

[neelo4]

i am confused:(...i thought when u take the derivative of one variable the other variable is constant which becomes zero,,,HELP pleease

[patrickJMT]

@neelo4 we are assuming y in defined in terms of x in these cases; in the multivariable case, both variables are independent. you should review implicit diff from calc 1 if you are confused

[neelo4]

@patrickJMT Thank you so much! i think i understand it now

[ACEswale]

why wouldn't the 2xy term on the top and bottom of the final solution cancel out??

[bosoxfan3384]

you are my hero, like you have no idea

[patrickJMT]

@bosoxfan3384 ha, i can send you an autographed picture if you want.

[guitardude006]

@patrickJMT I just wanted to let you know that I love you. Not in a "Hey, let's make out" kind of way, but more in a "You're awesome and I respect your awesomeness very, very much". I hope you understand.

You are a far superior Calc. teacher than my actual teacher. I probably would've bombed that test I'm having tomorrow if I didn't have these videos helping me out. Keep up the good work and I love you.

[patrickJMT]

@guitardude006 you can give me a big brotherly hug any time

[griefer1]

Why would the derivitive of 3x be 3? wouldn't be 1 ?

[pinto103093]

@griefer1

Actually it's correct, the derivative of 3x is 3!

You can use the chain rule to prove this:

3x = 3x^1

If you apply the chain rule to: 3x^1

You multiply the 3 by the exponent 1, and drop the exponent(1) by 1 to make it 0, making it x^0. But any number with an exponent of 0 is equal to one.

Therefore you have:

3x^0 = 3(1) = 3

Tada:)

Hope I didn't confuse you!

[MakAnndCheeese]

Cleared this up for my final, thank you so much.

[ericharris1969]

Just add dy/dx to any differentiated y. WOW! I think you just demystified a whole concept that got little or no explanation in class. Thank you.

[brush200400]

mmm your voice is so sexy

[dinogame]

uganda is feelinf you bro... thanks alot ...

[321503]

You Are A Bossss.

[JohnnyCagePro]

i owe my career to you

[lemonlimesensation]

I want to give you a huge thanks for helping me with my calculus because you explain everything so well and I understand the material because of you. I really appreciate what you are doing

i am so thankful i found you!

[voceturbo]

Hi Patrick, here in Brazil you have many followers. Thanks for your help in our course of civil engineering. God bless you.

[patrickJMT]

@voceturbo sweet! i would love to visit brazil one day! hello to all the nice brazilians out there : )

[Desalicious90]

@patrickJMT Germany loves you too ♥

[patrickJMT]

@Desalicious90 ALL of germany? : )

[aoi18]

I was just hopeless for passing a quiz tomorrow! :( Your videos definitely helped students who needed a better explanation on this. Thank you, professor!

[patrickJMT]

@aoi18 you are welcome! i am no professor, only patrick.

[spr456TR]

@patrickJMT You explain things better than any professor I've ever had!

[distroyer9]

You are the Best Thank You so much your videos help me understand this concept much better thank you!!!!!!

[circasurvive04]

you basiclly are a lifesaver!

you got me through grade 12 calc last year and are saving me in first year university calc this year!!

my mom said i should get a tutor, but i told her i already found one lol

THANK YOU!

[ambernc]

Thank you so much for these videos, they are a godsend. You explain this so simply. I had no idea calculus could be this basic or that I could understand it so well. You describe things much better than my teacher. Thank you so much!

[aerospaceshahin]

OMG!!!! Ur absolutely Life save, Thanks Sir MR Patrick JMT. I have one request, DO u mind using Y prime instead of DY/Dx? I am confusing myself when I am about to take a test. ANyway thanks for ur help and making me understand the concept. thanks a lot again, Sir.

[halorulesyourface]

i have my calc midterm in less than ten hours. you are the man!

[123adrianramirez]

i have a test at 2 today, this is really helping me ;D

[petermilko]

"attack on" hahahah

[poop832709]

you have such neat handwriting =)

[mjmclr]

you're the man

[imedyana]

thank you

[dreahhh]

i have a test tomorrow. you totally just made me confident of acing that mutherfucker!!! THANK YOUUUUUUUUUUU<3333333333333333­3333

[gouki02]

mmm this is not useful when you don´t explain why!! in real life if the letters are change then they won´t know the logic at all!! and this happens when y depends on x!

for example a function that represents the grow of a tree, the tree depends on the sunlight, water,.... the change of the d(grow)/d(water)+d(grow)/d(sun­light)LOL too long to explain, check chain rule

that means to explain the logic behind chain rule and it´s use in diferential equation and multivariable calculus!

[NLarsen1989]

Great videos man thanks for making these. Im starting an astrophysics degree in a week *ahhh xD* and have been using your videos a lot to keep my calc up to scratch, so thanks a lot!

PatrickJMT >> maths books

[haoever]

hahaha....you are left handed mi too!!!

[nthdegree8]

on your second example...{xxy+xyy=3x}...why arent we allowed to devide by x on bothsides before takin derivitive....i stil havent figuered that out yet.

[sanda2430]

You just saved my butt big time. Whoever you are thank you sooooooo much, this is more than i learned in 2hrs of cal class abt imlpicit diiferentiation now i feel ready for tomorrow's class. I cant thank you enough. May God bless you a thousand times

[sanda2430]

You are a natural..thanks for teaching!

[sanda2430]

You just saved my butt big time. Whoever you are thank you sooooooo much, this is more than i learned in 2hrs of cal class abt imlpicit diiferentiation now i feel ready for tomorrow's class. I cant thank you enough. May God bless you a thousand times

[LongBLAM]

Awesome, it was very precise and clear thank you!

[maltamonument]

ive worked the first one and i got it dy/dx = (3x^2 - y) / (x - 3y ^2).... is it the same ? the signs are inverted that is and dy/dx is still positive... weird

[plaikunjara]

i'm in Thailand and I love your videos.

[mypinkdollprincess]

Thanks a lot...you explain very clearly.

[kerryvp]

I used these vids when i was first using and im watching them again for revision... u STILL rock!

[panchanator]

I love you, sir. This was probably the most helpful video ever. Honestly, you blow my calculus professor out of the water.

[paddy2k6]

simple and to the point, thank you :)

[TheVkvkvk]

hi i love ur viedo....tnx

[gulhassanfx]

thanks a lot, you're a great help.

keep it up, you're style beats many others!

[vi6vacious]

You are amazing! Filthy amazing! Thank you.

[dmed312]

why can't you just factor out the Y at the beginning of the problem, and then find the derivative just like any other problem?

[ImmanualKant1989]

if your talking about the 2nd question you have to use product rule first becasue you have two varables(functions) multiplied....

[FBTiger58]

Thank you so much for these videos. If it wasn't for your videos, I would have dropped calculus. Thanks again.

[melwygant]

Your videos are very helpful!

[mistabrown714]

how can i do the following problem:

4cosxsiny = 1 ????

[pavan143aus]

dude i think 4 is constant &by using uv rule cosx*cosy*dy/dx+siny*-sinx....­............

[iGomezedHer]

Why does he add the dy/dx to the x and not the y? at the beginning on the right side of the equation

[Damyfaith]

thanks a lot you really helped so much THANKS I APPRECIATE !!! SO MUCH

[omaroq11]

Thanks alot. You really did help me.

[TheVkvkvk]

very impressive

[iamgedanken]

Is it possible for you to explain _why_ you add the dy/dx when there is a y?

[sponsoredwalk1]

the reason you add dy/dx is because you are taking the rate of change of the function y with respect to x.

In y=x², you do dy/dx=2x i.e. you differentiate the function y with respect to x.

Well, in the video, the function y is all mixed up, hidden behind that scary thing, like in all those equations where you try to find out what conic section is hidden behind a huge scary equation, i.e. a circle or parabola etc...

You take y & differentiate w/ respect to x because y depends on x.

[gamer0reloaded]

@sponsoredwalk1 in other words, dy/dx (aka y')is a conversion factor bridging the gap between f(x) (aka y) and x.

[sponsoredwalk1]

@gamer0reloaded

is measured as a ratio with respect to x, x moves one step at a time but y can

change in any way..

So, in a sense you were right, it's a

conversion factor, it'll bridge the gap between the "x" which moves one

step at a time and "y" which can move

in whatever way it is made to.

Maybe I went on a bit lol but I hope it helps somewhat!

[sponsoredwalk1]

Hey, well that's sort of right. Lets be

precise, it helps even if it is nerdy lol

We apply a function f ( a rule)

to a variable x and we then get f(x)

This function f(x) can be shown on a

cartesian plane, you know, the x and y plane, as y.

So, if we want to know the rate of

change of the crazy function y we will

find out how it changes with respect to x

That just says that the rate of change

[colverj]

anyone know what pens he uses?

[rafear91]

it is a sharpie permanent marker.

[rafear91]

it is a sharpie permanent marker.

[joyjw]

THANK YOU!

[INFTJ]

I have to sit for my A Levels next year and because I skipped school for a semester, I am going to have to watch a lot of your videos. They are much clearer than textbooks.

Good job, and thank you.

[istroublebrewing]

wow if only my prof explained it like this when theres a Y' you add dy/dx

SO CLEAR!

[hellowsaw]

Fantatic! Flawless explanation

[bornwithanattitude]

you are awesome. you explain things so well that impossible not to get. i hope you make it big with your website.

[sullivanseven]

You are ksdjfsrjheoijthoij (can't say in words)

[electivire1001]

legend (nuff said)

[TheFluffyDuck]

This one was great it cleared up what to do with those pesky product rules.

[RTjonas]

you are extremely helpful, thanks so much!

[mekanikportakal]

hey man, just wanted to let you know that you are the reason I'm not only passing my calc class, but acing the weekly quizzes with flying colors.

I really appreciate the effort, thanks.

[TheFluffyDuck]

I know so many people who do maths that are left handers. I would love to do some statistics crunching on that lol

[weiyi1123]

lefty are smart!!

[babicz]

LEFTY!!!

[JJOSharp]

SOOO helpful thank you !!

[wooripopo]

this is so helpful! thank you so much

[autumnofmyheart]

Do you use the Stewart early transcendentalist calculus textbook?

[akademikpn0i]

this video cleared up my problems with implicit differentiation!

[thelastwords]

For the 1st example, why the dy/dx term?

[HeThatOwns]

dy/dx = y' using y as a function of x, ie: y(x)

[SenseiSixx]

dy/dx means you're finding Y with respect to X. Or finding the derivative.

[prochobo]

There are lots of Heine Bros on Bardstown Rd now so I bet its still there. No idea where Ramseys is.

My prof is Ryan Gill.  I don't know if he's a grad student or what because he doesn't act like an experienced prof. Thanks again for the vids, I got a 92 on the test :)

[patrickJMT]

i used to live at the small heine bros coffee shop on bardstown road next to ramseys (that place even still there?)

i played chess 90% of the time i was there though

[9RUTZER]

@patrickJMT Oh great you play chess? do you have a FIDE title?

[patrickJMT]

@9RUTZER my fide title is: big fish.

i do not play tourneys, although i am pretty sure i could at least make FM without too much difficulty if i tried, although i play less and less nowadays.

[9RUTZER]

@patrickJMT awesome we should figure out if we could play some time, via internet, do you have a rating or an estimated?

[leledaconceicao]

awesome videos.

congratulations.

[wotdaf0ck]

you just saved me from suicide! thanks

[m27a68v71]

Thank you!Your skill is useful in my coming HKCEE's A. maths exam!

[blackrattlesnake]

thanks man...Helps alot!!

[collegeboy360]

i.love.you.

thank you...rly..you have No clue how much this helps...:'(

[greencoveredbridge]

Thank you so much. You really know how to teach. I really appreciate your videos.

[BEBOCLIPS]

omg...i'm glad i found you....thank you so much...i cried when i finally got how to do it...been struggling for a while to understand these problems...

thank you.. :)...really appreciate your efforts...

[patrickJMT]

ya - math is stressful. : )

glad i was able to help out

[patrickJMT]

but math is also beautiful and almost mystical !

[76Neesa]

If I pass my maths test tomorrow i owe it all to you. Thankyou sooo much. Wish I had found you sooner.

[1690362]

thank alot for this 'implicit differentiation' vid. i appretiate it much! keep up the good work, Patrick.

[dreamingimalive]

Thank you so much for these videos! They really help me out.

[fox20012]

just came across this video, what is this math used for? You just learn it in high school or uni or something?

Should I learn math? It does look fun

[ericasaidso]

you would use this kind of math (calculus) in physics and engineering a lot. Some people learn the first semester in high school. I'm doing it my second year of college

[windogsackface]

that is the stupidest thing i have ever heard

[fox20012]

Just to let you know, I didn't mark your comment negatively, its probably just because your a stupid fucking faggot

[kashiark]

thank you for making these videos! i'm really good at math and you gave me something fun to do this summer :D

[gladeplugins]

HAH! True!

[hilly137]

thank you sir.

[napsvid]

thanks :)

[B3sErKeR]

You Saved my life !!!!!

I passed my Semester Test Because of you, and now am one step closer to achieving my dream of Mechanical Engineer !!!! :D

[mart2045mart]

@B3sErKeR orthodontist for me! this helps so much

[mart2045mart]

@B3sErKeR orthodontist for me! this helps so much!!!

[imajerkk]

this. is the best channel.

pat makes learning fun. =D

[evenshadow]

cheers man, good stuff, made me remember it

[sahilsaid]

WOW, wonderful way of teaching fantastic, thank you so much

[illa2015]

wow thank you SOO much. I did not get implicit differentiation at all and you taught me it perfectly in about 8 minutes :)

[gipson123]

5:55

isnt the 2xy dy/dx part spose to become '-' (negative) when moving over to the left?

[DeJayHank]

no because it already was on the left.. he's leaving the dy/dx factors alone and subtracting the _other_ factors over to the right side where there only is a lonely "3"

[gipson123]

haha i thought something else was the equal sign. never mind.. :(

[sahilsaid]

It is already on the left side, he is just making it all dy/dx go togather so he can factorise them. only 3 was on left side at that moment.

[gladeplugins]

I learned more in 7 minutes and 45 seconds from this guy than I have learned in 3 months from my calculus teacher at college. How sad is that!

[Brian4321]

can somebody do

4xy^(3)+5xy=9 at point (1,1)

[antoinettedaniels]

Thanks, keep up the good work

[persianppp]

seriously your AWESOME! thanks man i relly appreciate what your doing.

[BButterz88]

WOW!!! ur a life saver!!! :)

one question, I'm assuming u r (or were a college kid), what major were u???

Also, perfect handwriting!!!

[fanfanz9]

Thank you Thank you and Thank you ~

[Shaeem87]

Man all this days i wanted to kill myself in cal 1 class....now after watching ur video i am feeling much better! GOOD JOB!

[NioushaXD]

wow. thank you so much. you saved me, seriously.

[patrickJMT]

happy to help

[Bonnie8886]

gosh..