More Complicated Derivative Examples

[euch27]

Please help anyone. Can anyone find dy/dx for y^2=(x-y)(x^2+y) ??

Thank you!!

[THEJAXZ80]

You made my mind sad. :(

[patrickJMT]

@THEJAXZ80 welcome to life

[miketh6]

08:04 1/x.... isnt it just logx???

[stellar987654321]

in this video, in the first example you do the chain rule to get sec^2(x^3)(3x^2)

how come you dont do the product rule to get sec^2(x^3)+ tan(3x^2)???

[patrickJMT]

@stellar987654321 cause tan(x^3) is a composition and not a product. if it was [tan(x)] (x^3), THEN you would use the product rule. this is why teachers get upset if one just writes sin or cos... it does not mean anything.

[ejsg34]

Hello Patric,

I`m sorry but I think you made a mistake by writing tan(x^4) to tan(x^3) in second line.

[nomnom112]

@ejsg34 it actually looks like the mistake is in the question itself. He writes tan(x^4) by mistake and then unknowingly makes the correction tan(x^3) in the second line because he's so used to doing similar problems.

[vadersdemise93]

@PatrickJMT

I love your videos! I am wondering, are you using Stewart Calculus 6th edition? Because some of the problems are exact copies ( which is awesome because we are using this book for the semester).

[dabears673]

thank you! very informative and helpful

[SynpaticInc]

People let's not complain. Patrick's taking the time to really break down these complicated concepts for us--for free too! If he makes a small error, don't spaz, watch the video again. It will all make sense in the end. He's a brilliant teacher--let's not take him for granted. :)

[VegasBabeXOXO]

your soooo amazing!! i dont even need sound you explain it just how i needed to understand it!!

[hozaid10n]

Oddly enough example two is the exact problem I was having trouble with.

[RAT4T4T]

I'll be back tomorrow to let you know how my calc test over this went haha. Your vids helped a lot in getting me through the study guide, so thank you!

[patrickJMT]

@RAT4T4T good luck!

[TheNumber2Pencil546]

that buzzing sound is awful haha. good video as always though patrick

[patrickJMT]

@TheNumber2Pencil546 sorry! a few videos have some audio issues. this was made about 3 years ago, so it was an early one ; )

[Cat93Meschia]

why did you only apply the chain rule to x^3 and not sec^x(x^3) as a whole?

[Regards200800]

I hate the zzzzzzzzzzzz sound :(

great video though... thanks alot

[SCMowns]

i used this when i buy a mcdonalds hamburger :)

[theultimateonejps]

Just to make sure, when is the chain rule used?

[patrickJMT]

@theultimateonejps always : )

u use it when you have a composition of functions

[thisisarandomname92]

umm..wasnt t tan(x)? i heard u saying that earlier in the vid

[fidoz90]

i appreciate you effort but that mistake of "3 instead of 4" destroyed all the equation : ) .

thanks again : )

[patrickJMT]

@fidoz90 c'est la vie

[shortyp116]

Dang, I wish I would've discovered all ur videos when I first got into this Calc class =/ Ur Soooo much better than my professor

[Malicedispersion]

i love calculus. next year my senior year in highschool im taking calc 2

[heyjustthetip]

Thank you

[herbpixie]

Not that it's a big deal, but I wanted you to know that embedding is disabled on this video on your own website. :-) I had to come to youtube to watch it. I prefer your site because the organization of videos by subject is better. Also, you're a life saver. Thank you for all of your videos.

[ElementalJustin]

The video would be better if you were right handed and your hand didn't cover everything up all the time.

[patrickJMT]

@ElementalJustin watch it in a mirror

[halofreak12321]

@patrickJMT

owned lol, well said teacher.

Quick thanks, i`ve got my core 3/4 exams coming up soon, and these videos are really helping me out :)

[MYGodisawesome]

I disagree. I think your videos are superb. And even better since you are a fellow Southpaw. You do us lefties proud.@patrickJMT

[heyjustthetip]

@patrickJMT hahhahahaha

[notorioussrj]

Just wondering if you do an vectors problems?

[mypinkdollprincess]

Thanks a lot for making math so much fun!

[mas3rm1nd]

I must say, coming across your website was like finding gold

thank you patrick!

[Karvenate]

AHHHHHH (head explode) im just a 6th grader im  not in the level yet.......

[YukonTrooper]

Hurry, get in the level! Mario says there is no time to waste with Bowser on the prowl for Princess!

[Karvenate]

I MUST!!!!

[ruthe006]

patrick,on the last part of the factoring in the y=(t^4-1..... problem, arent you missing a (t^4-1)? because you had taken out (t^4-1)^2 but you still need to account for the (t^4-1)^3?

[ieowen]

4:26 - 4:31

That's what she said.

[bitsofrealpanther2]

Great catch... I just lol'd heartily at that.

[viktorgoa]

XDDDDDDDDDDDDDD

[rushitelj]

@ieowen epic :D

[iknowsnothin]

@ieowen this vid is just filled with sexiness isnt it?

[Ayplus]

@ieowen LMAO. In that exact voice



[marcusjhung]

tangent cubed? i thought they were only regular Ts.

[nyah012]

So the problem is wrong because he had a tan x^3 instead of a tan^4 at the beginning.

Might seem I'm just critisizing and pointing out the mistakes, but no, I am doing the problems and am actually enjoying your videos n.n

[bobske321]

Hang on i kinda know this..and im year 9.. lol i dont know what the 3 above the thing is though

[MetallicaFTW7]

its called a cube root

[HistBuff18]

In the second example, you should have derived tangents to be sec(x)^2. You derived as if the t's were variables. Just pointing that out.

[whatchabeendoin]

i think he meant them to be variables in the first place and accidentally said "tangent" when talking out his equation

[fatalfeedback]

wow....um.....

I have a pretty high IQ and I don't know math very well. I am wanting to raise my IQ to 160 at least. And I know I will need to be well versed in math. So I am making an effort to understand. so I thought I would see what the more complicated stuff looks like. Just to see where I need to be. And wow.......Looks tough. But, I am determined!!!

[patrickJMT]

my iq is about 95, so do not be so concerned with it : ) smarter people will still think you are stupid, and dumb people will just think you are pretentious

[fatalfeedback]

yes...this is very very true. Yet, I have made it a personal goal to be a member of mensa. For personal gratitude. LOL do you have other vids that cover more simple math for me to get a good start on, or any advice as to where to get some lessons?

[1234keji]

hey check out khan academy, the guy running that has all vids from basic arithmetic to calculus. he's a big help and actually explains and proves certain formulas

[fatalfeedback]

thanks :)

[PokerVertigo]

My first advice for you would be to improve your english first. That would go a long way in convincing people of your 160 IQ.

[fatalfeedback]

I didn't say I have a 160 IQ... I said I want to get to that. plus that was written over 7 months ago. why respond now???

[PokerVertigo]

Why do you think your iq is 95? I'd say you're a fair bit higher than that.... Take that IQ test again.

[evilan9el]

@patrickJMT you smart and funny!!

[patrickJMT]

@evilan9el a 'not funny smart ass ' is probably more like it : )

[rockem001]

@fatalfeedback your dellusional, this is basic calc 1

[leoztube]

shouldn't it be x^4?

[badjayz99]

i love your vids man, great explanations & examples, thnx a lot

[kowaitie]

thank u very much

[ekim88983500]

in the original probelm of the first problem you had cube root of 1 + tan(X^4), then on the second line you changed it to (X^3)... any reason for this or just a mistake...

[patrickJMT]

ops! no, no reason at all except i guess i was looking at the 3 from the cube root and accidently made that the power on the x instead! sorry for the mix up! it should certainly have remained x^4. thanks for the feedback and for pointing out my mistake!

[illidan2005]

noticed the same thing, i was like: lol?

but ya, mistakes are mistakes... at least in my college (PUC-Rio - Brazil) doing a mistake like that the teacher zeros my shit ;P

[AseelSky]

@patrickJMT Even Patrick makes mistake accidentally, how about us in exams! Poor students...

[1994camaroz28]

Yeah, I noticed...