Using Implicit Differentiation - Extra Examples

[stev204en]

I LOVE U

[chipuarbuu]

My teacher taught it way more complicated. You make it simple!

Thanks again! (:

[craziidanii55]

thank youuu! everything is so much clearer

[littlemonty94]

One thing about the first problem you did in this video:

Why would you not simplify the solution, dy/dx=(y-3x^2)/(3y^2-x) further, making it, dy/dx=(1-3x)/(3y-1)?

[strongtheory]

These 61 videos basically taught everything I needed to know for the first half of AP Calculus BC in 2 days whereas it takes 5 months for my school to teach me this. And even then with all the time they have they can't teach well. Simple yet effective is always the best. Thank you patrickJMT.

[nicgurl829]

thank you so much for this video !!

i understand it now :D

[patrickJMT]

@nicgurl829 you are very welcome

[h00k3rb00ts]

my prof caught me looking at your videos during my calc lab, then promptly added you to her syllabus for "extra help"

will be here next semester for multivariable o.O and university physics.

teaching me math for 3 years now.

[nawtha]

thank you



[dmelbert99]

Only thing i dont really under stand is if the xy has a constant what do i do with the constant when differentiating

[dmelbert99]

Your videos helped me out a lot. Im a Psych major who has to take Calculus and Physics because of my Naval Scholarship.

[zoomX240]

dude, you're better then my math teacher. i got a 5 on his last test, because of you i finally understand what i'm doing! going to ace the next test for you. thank you!

[patrickJMT]

@zoomX240 you are very welcome : )

[arson09]

No offense to any foreign professors, but man o' man how much i wish we had more math and science professors that speak clear English and explains things in such a clear way like you do..

[patrickJMT]

@LucLamontCaputo next time : ) i hope it went ok

[nikazar369]

I hear people saying this all the time: " nahh i dont go to lectures anymore, there is this guy on youtube...he is way more useful!!" and im like .... i know right !!!

[patrickJMT]

@nikazar369 : ) 

[theman1926able]

works, thanks!

[mirako347]

You make my Calculus world work :) Thank you so much, ever since highschool. Now it's university :)

[patrickJMT]

@mirako347 : )

[winone01]

First quarter AP Calculus grade=97 THANK YOU @patrickJMT!

[patrickJMT]

@winone01 very good! congrats : )

[xUmberBlackstonex]

GREAT

[GoodyearBandit]

Here is my plan, focus in class, and watch your videos.

[patrickJMT]

@GoodyearBandit sounds like a reasonable plan to me

[RealAssyrian]

Much love from Australia. you made my life sooooo much easier with this video!

[patrickJMT]

@RealAssyrian ha, happy to help : )

[therealbologna2]

can you be my professor instead??

come to penn state now! haha

[TheNumber2Pencil546]

on the first example, can you not simplify that solution?

[MrRlabrador]

Are you using a separate mic attached to the camera?

[Dragonflame997]

You are amazing for doing all these Calculus tutorial video's, they have been extremely helpful for me throughout this year, and I greatly approve of everything you have done. Love you man. :D

[bigdipper117]

@MrShia1990 Solving implicit differentiations LIKE A BOSS!

[MrShia1990]

I LOVE YOU, YOU'RE A BOSS

[STEFIzeADVENTURER]

thank you sooo much for uploading these videos...thanx to you, i actually understand calculus!

[keithtrivers]

i helps a lot

[idaWHALE]

yeah i got semester exam tomorrow. you saved me and im sure hundreds of other procrastinators!

[athfuhshgh]

you are so nice and clear in your teachings that you make my calc teacher look like an asshole,sorry for my languaje

[ooookinghaha]

hi i have a really tough problem that i cant seem to solve

how do i differentiate

X to the power of sinx ?

Can some one pls pls pls pls pls pls pls pls help me :S

[StarVans]

@ooookinghaha  Use logarithm differentiation . so you equation has:

x^sin(x)? I hope I understand what you are saying. so you get y=x^sinx and you ln both sides(logarithm differentiation) so you get:

1) lny = lnx^sinx then you notice that the exponent is hard to differentiate so due to logarithm law..bring down the exponent :

2) lny = sinx*lnx

Now you differentiate both sides

1/y*y'=sin/x + lnx*cosx

Then to isolate y'..bring the y to other side:

y' = (sin/x + lnx*cosx) x^sinx

[StarVans]

@ooookinghaha sorry that sin/x should be sin(x)/x sorry ^.^

[ooookinghaha]

@StarVans Thanks so much :D

[mentalxxxfloss]

i credit my A in honors calc to these videos

[patrickJMT]

@mentalxxxfloss congrats on your nice grade : )

[fIuxxor]

you are my hero.

[TheModernaComplex]

I'm taking Calculus in a correspondence course to fill a prerequisite for an MBA program. I think I will pass now that I've found your tutorials!

[patrickJMT]

@TheModernaComplex good luck. online math courses can be ' not so fun '

[litojonny]

I LOVE YOU.

[patrickJMT]

@litojonny that is like 15 ' i love you ' in one day from different people : )

[petermilko]

he says "attack on" haha its attach on!

[ItsNateMate]

@petermilko he said "Tag On", not attack on.

[necrognomemetal]

Thank you so much for helping me to understand this. It all makes sense now!

[nnostalgy]

very good

thanks Patrick JMT

[nnostalgy]

very good

thanks Patrick JMT

[logical123]

I love logarithmic implicit differentiation. It is so much fun, jamming ln's everywhere and e's everywhere. Ahhh... I love Calc!

[tbird6234]

you're the man! so much better than trying to read my calc book. Thank you!

[smcbride2009]

you are the best, I got a 93 on my first calculus exam and I thank you for your help.

[patrickJMT]

@smcbride2009 congrats!!

[readingMUNKY]

dude.. let me just say this... u r a LIFE SAVER!!!!!!

you have helped me through vectors, physics, derivatives, and god knows what else!

i have been using u-tube to understand skool stuff since i entered high school

n u have helped me a lot!

i dint have a u tube account until today>> n i have only created it to do one thing & one thing only.... thank you

so man, thanks soo much!!!!!!!

u r BIG help when teachers dont do wat they are supposed to do >teach !! :D

[patrickJMT]

@readingMUNKY glad i could help you! thanks for taking time to let me know : )

[readingMUNKY]

@patrickJMT 

[readingMUNKY]

@patrickJMT u r welcome :D

[mateo642]

wait, why do you have to attach dy/dx? are you multiplying that by the derivative of y

[patrickJMT]

@mateo642 chain rule

[hezron93]

Can you show me how to solve this : Find the derivative

d/dy 4x^3 - 2y^4

[2060Tinkerbell]

Can you please post some videos on Implicit differenciation of Square roots please.........

[wapak00]

PatrickJMT thanks for this.. now im ready for the quiz.. ^_~ summer classes sucks.. XD

[patrickJMT]

@wapak00 ya summer school no fun!

[zazman65]

excelent

[caorr]

thank you very much  :)

[eternal000sunshine]

Beautiful...

[Stinkbomb21]

this is a great video keep it up

[zskarimi]

I have almost seen all your videos. If you could send also videos about physics such as thermodynamics.

[Narutix37Returns]

this guy is teh jesus. thank you, you're a way better teacher than my 51-year old decaying cow of a professor

[v8thaSnake]

thanks so much...im sure i'll ace my calculus 6 weeks exam tomorrow...please keep it up

[footballbuc92]

if only you taught physics as wel...

[bebe2ful]

wow, this dudes make it totally easy then the teacher.............he should be my teacher............

[upsidedownsoup]

Thank you.

I've got a calc test tomorrow, and this was the main thing I did not understand.

Notice I said "was". :D

Thanks man.

[goldenroll]

you explain it so well, if only my cal teacher can explain it that clearly

[01supra]

dam he did it again im so happy for that black marker an paper an u the man 2 lol

[Juggernaut3456]

We're learning this Monday in Calculus, so I appreciate the jumpstart.

[gmhmilenio]

wow thanks so much, I finally get this, this implicit diff. thingy has got me bleeding for a week, and I'm having a test on Wednesday

very helpful thanks

[ttmmss0]

tsd5060, no you can put the dy/dx on the right side, but please watch your signs carefully.

Tariq.

[mozillagenesis]

My calc professors never explained this so clearly. Thank you.

[tsd5060]

does the dy/dx terms always have to go on the left side?

[ragingkiwi]

Wooooot!! left handed for life lolz =p

[daydreamer019]

Hi! I have a question: if I use the product rule in solving (xy)^1/3 than chain rule or extended product rule, is it much different in answer? Cause my teacher says it is but the answer I'm getting is wrong. Help.

[patrickJMT]

after simplifying, the answers will be the same

[bluEish04]

Oh... mmm... but how if the other exponent of x is 5/3 and the exponent of y is 2/3? can be that the same?

[elementknight]

patrick.JMT i had someone spend an hour in person trying to explain this, you got through to me in 10 minutes lol

[patrickJMT]

it is my jedi math powers!! : )

[imbrd]

your jedi math powers are so much better & clearer than my math professor

[qingian]

@imbrd 'the force...controls your actions, but it also obeys your commands.' - Obi-Wan Kenobi.

[jachina]

thank you so much for the video, it was very helpful

[patrickJMT]

glad it helped!!

[Emersumbigens]

Shouldn't the y^2 term have been positive because it wasn't transferred across the equal sign as the 2xy term was?

[robyoungrob]

but it was transferred across the equals.