Derivatives of Parametric Functions

[karankurbur]

Thank you - you are an excellent video maker and math teacher and you saved my ass so many different times

I would just sincerely like to thank you :)

[poxy435]

Thank you a million times. Imagine I could not figure this out the whole week, but luckily for me , I had to turn to my best maths clips ever since - "Patrick JMT videos on you tube." I cant emphasize enough on the clarity of your explanations. I wish you knew how gifted you are. Once again, am so greatful for your work. Thanks.

[patrickJMT]

@poxy435 thanks for the very kind words :)

[tRGodzApostle]

algebra is the hardest part of calculus

[Swimdarkenigma0]

Couldn't you also eliminate the parameter to turn the parametric equation into a function, and then take the derivative then?

[salo69]

I give you my word. As soon as I am out of college and begin earning my engineering salary, i will repay you for all u've done for me. I will not forget, i promise. Cal1, Cal2 and now Cal3... i owe these to you.

Please, next time you're in miami, let me know.

[ian559fresno]

Hey Patrick, do you have a video on the direction the parametric graphs go?

[GeekBoy03]

You know Patrick, Walmart sells 4' x 3' boards for only $20..

Those tiny things have to go

[ian559fresno]

@GeekBoy03 Why complain, still a great video.

[GeekBoy03]

@ian559fresno Because I prewfer to see what he did do while he is doing what he is currenty doing. Sometime all that swapping can be confusing. Though he did move from paper to these boards.

[ian559fresno]

@GeekBoy03 yeah but you do have to consider that he is making these videos for free.

[GeekBoy03]

@ian559fresno So you think so, huh? I guess you missed those paying ads he posts.

[patrickJMT]

@GeekBoy03 google posts ads on all videos, if you have not noticed. and i will agree with the earlier person: stop whining.

[ian559fresno]

@patrickJMT You should change most of them to instream ads..those have a better ctr from what i've noticed.

[eifmior]

@GeekBoy03 What he does with the money off ads is his business. Why don't u become a youtube partner? thats because u CANT! UR vids suck and only have like 80 views and its been out LAST YEAR!  go each some shit.

[23youwatch]

why cant we plug-in the y and x values for x and y instead od x1 and y1?

[rolodato]

Is there anyone seeing this subject in Calc I? I am...(Actually it's called Mathematical Analysis I where I'm doing it)

[mafemure]

I wish you were my calc professor haha

[PepPep1101]

Very helpful. Thank you.

[millenniumf1138]

Calc II is pretty hard, but you're easing the pain quite a bit with these videos! I've got a test today, and I tried studying my notes, but I didn't really understand parametric equations. Then I saw this video, and it all makes sense!

[benjamindoverh]

im always impressed with how easy you make this stuff. thankyou sooooo much. you are getting me through calc 2.

[risebad]

thank you sir, cleared that up for me!

[MrLioramirez]

you're really easy to follow...... thanks for posting

[sgtgs42]

will you sit next to me in math lecture?? I like my UC berkeley Math 53 prof....but you're better ;p I'll give you all the coffe you can drink!! (I'm staying up 'till 2-3am every day to wake up for 8am classes)

[Kapurod]

I just want to say thank you

[namiss1028]

I think that someone should come to the University of Tennessee so that I can learn in a understandable way how to do calculus, Your making a world of a difference for me Patrick, thank you for these video, truly saving my life right now

[aethervox]

I wish my math teacher would watch your videos

[WhiteValkery]

1 person sucks at calculus! XD

[SirThursday3]

wow... can you just become my teacher please! That was really well explained

[t1y2r3a4n5]

Hmm...these videos will be useful when I'm revising before a test. I do 3 Unit Maths in Australia, which is basically the second hardest level. Thanks a lot.

[Twintracks1]

THANK YOU!

[DVD5656]

what if the t is not given

[akirajamal]

patrick, i would be completely hopeless in calculus 2 if it wasn't for you. i feel very lucky that we live in the youtube age.

[ellipticality]

this videos arent helpfull at all...

..its opposite day btw

[clawrence034]

you are a saint

[Asdruvil]

Thanks! :D

[cashmuney]

im not gay but i just wanna say i'd fuck you. THANKS SO MUCH. U DONT KNOW HOW MUCH I WAS STRUGGLING ON THIS ONE PROBLEM. THANK YOUUUUUU!!!!!!

thanks

[Adeylaide]

AWESOME. Very clear explanation :)

[raychizzle]

What if T isn't given?

[Vuzeable]

solve t by setting y=x

[ashw333]

thanks helped a lot!

[pbcmercrat]

i like it better when you use the long sheet of paper as opposed to the dry erase board. thanks for the great vids!

[iampio]

this is for 15 and 16 teen

[thelastwords]

thanks!

[spacekillers123]

You got great handwriting!

[AFG34]

good to see videos on CALC 2 material!

keep it up!

[titchoun3]

ta pitin pas servi sa dan lavi ggt

[hyky68]

Man you really Are good at teaching lol. I've been watching your vids like crazy for calculus concept overviews. xD

[TheDuskMar]

Algebra II + Calculus = useful

[patrickJMT]

i agree

[atticus2u]

@TheDuskMar hahaha right? i was like damn this stuff is useless.. wait....

[gbjubjub]

All of your videos are great, I consult them before all of my Cal 2 tests and they help a ton. For once watching youtube before a test is actually a good thing.

[thatbitchyoulove]

I love all your videos. Totally awesome :)

[theycallmest3r]

how do we algebraically determine 2 is positive and not negative? sqrt(4) = + or - 2. but we used +. why? (without looking at calc)

[patrickJMT]

by definition, the square root of a positive number is positive.

so, sqrt(25) = 5 sqrt (100) = 10

[Shadowriku40]

@theycallmest3r If the equation wanted a negative square root, it would have read:

- sqrt(x)

not sqrt(x)

[Xxcaliber1]

Great working dude.. I used to mess up my working method.. Like placing dx over dy instead of dy/dx... Coz i used to calc them separately.... i am using your working method now!

[beanbag1985]

patrick bro, you are officially a BAMF!

[patrickJMT]

word

[Elk9]

I just saw this in class and thanks to your video, which explains better than my teacher, I finally understand the process: especially for the y=mx+b form of the answer, I didnt know it was unnecessary..

You have my gratitude! 5/5! I will keep on watching your videos Maestro!

[patrickJMT]

thanks friend : )

[Qmara91]

thanks vids helped a lot

[QuanSai]

Nice video, dude.  I still don't even know what a parametric function is, but I saw it in my textbook and in this video and I think I can do this now! I just don't know exactly what I'm calculating yet. I haven't taken calculus yet!

Lets do this!

[patrickJMT]

parametric function is when the x and y coordinates are each functions of another variable, usually denoted as 't'

i should have a video on it somewhere : )

[QuanSai]

Thanks a lot.

[patrickJMT]

no problem!

[Fenix37197]

Wow, I can't believe I didn't watch these videos before taking my math final today. I failed unfortunately, but next semester these videos will come in handy.

[G56Ace]

Thanks for the video. It helps a lot.

[studolf]

Who needs a books, videos are better. We all have textbooks anyway.

[patrickJMT]

i agree, a good vid is nice!

books are always good though!

[jashar1]

Fantastic, as always. When are you coming out with your book?

[patrickJMT]

ha! i did not know i had a book coming out!

[jashar1]

I've read several calculus "help books" and three textbooks, and your videos make more sense than any of them.

[1lovelyartist1]

THANKS

[patrickJMT]

ya!

[patrickJMT]

who's the man?!

: )

[bangalirussian]

dude ur the best!