Derivatives - Quotient and Chain Rule and Simplifying

[Peglegkickboxer]

this stuff's still better than pure math.

[jonnykiller]

this is why i am a history major

[Omniclusterfck]

@jonnykiller this is why YOU'RE RETARDED

[jonnykiller]

@Omniclusterfck

lol bro you mad?

[the1comment]

I fucking love you! So very proud that I just understood the Chain Rule and applied it. You are the best teacher I have ever had for Calc/Math =)

[ElDirectorRJ]

Thanks, goin back to ap calc this semester after a semester long break and can't remember any of this. This really helped

[patrickJMT]

@ElDirectorRJ ya, if you do not use it, you lose it! myself included; it is amazing how quickly it all goes away!

[NameofAvailabilit]

do you/can you simplify 1st? for example F(x)= 2/4root(x)^3 , i can simplify the numerator to x^3/4 then continue with the quotient rule? or is that simplification step unnecessary?

[dtbjjrb]

You are awesome. In the future, I may thank you for all your videos, depending on how many I watch :P

[CondemnTheHive606]

Thanks, Patrick. You saved my hind for algebra. You got me through trig. And now you're helping my way through physics and calculus. Great videos.

I'd like to see a blackboard with neon markers... But that's just me. Hah.

[SnoraxLorax]

This was sooo helpful. Thank you!!

[patrickJMT]

@SnoraxLorax you are very welcome

[awefilledcreep]

I never understood how negative exponents are turned into positive like you did. Is it that you always put it into the denominator to make it positive and if there is no fraction make a denominator for every negative exponent?

[matthooper11]

legend.....thank you patrick

[patrickJMT]

@matthooper11 no problem

[ZDanimations]

@stroke927 because 1/2 + 2/2 = 3/2

[McKensiexx]

This is the most amazing video ever :) :) :) i just got it!

[harisoccer]

I hate simplyifying....



[awefilledcreep]

im just not gonna go to class anymore. you explain this all so much better. :P

[2895bulldog]

what the HELL is the advertisment about??

[mason0444]

Jesus Christ...

[patrickJMT]

@mason0444 no, i am patrickjmt

[LOTR4ever1]

@patrickJMT One and the same, IMO

[trixr4kidsdawg]

tyty

[ZhangArtification]

You are literally amazing man, I share your videos with all my fellow calculus students now :)

[MrScythe84]

Keep doing what you do man. You really helped me a lot!

[Greencroy]

это школьная программа, не знать это позор

[TheNumber2Pencil546]

how do i do (2)/((x-6)^6)

[Gotfryd1590]

I don't know about you guys but If I ever find out who discovered derivatives; how I will make him pay for it! >:(

[andym1508]

thank you so much, so happy i came across ur videos you explain it so much better than my useless teacher :D

[chad8994]

I just want to thank you for your time and know how on the subject of calculus. You have helped me more than i can say, appreciate all you do :)

[mzee101]

you are a math god thank you .... i got exam tomrrow

[58fubu]

thank you so much man...you really helped me out big time...

[dragonmaster84]

OH MY GOD I GET IT. I GET IGT IT IGET EITE GIE TIETIAWETHAEITHIAWETHITE;HOEFJ­ADSKLFJAWDSKL;JAWEO;HWEITLAWEH­KLADSHJFKLADSJFKLHTKAETJHKLFJA­DSKLFHSADKLTHWETKL;HEtkl;jaekf­jadsfkladsjfl;kjastl;khetkleha­el;. <3 <3 <3 <3 <3

[PlasmaPrestige]

Is it possible to use the product rule and chain rule only by bringing the denominator to the numerator and making it a negative exponent?

[boboy2u]

@PlasmaPrestige Yes, that's what the quotient rule does essentially.

[Stroke927]

hello how does it come out to be 3 halfs at the end of the problem, i dont see how a .5 power and a 1/1 power equals 3/2

[TheSingerwannabe1]

@Stroke927 Well understand that .5 + 1= 1.5, therefore, it is 3/2. Divide 3 by 2 and you will get 1.5. Remember, you add the exponents!

[Stroke927]

hello how does it come out to be 3 halfs at the end of the problem, i dont see how a .5 power and a 1/1 power equals 3/2

[super1range]

man i love your videos, thanks got test tom and im soo pumped, and i watched ur videos last sem and finished with 95 in gr 12 math :D feels like im stealing ur knowledge! i hope u keep uploading university math problems for next year!!!

[sheephurrdurr]

very greatful for the help, although you writing with your left hand was bothering the hell out of me :P.

[TheSuperLucylou]

At 2:45 you forgot the ^1/2 !!!!!!

[nanums]

thank youuuuuuuuuuuuuuuuuuu <3! ^_^

[Fatherminion]

Somebody give this man a trophy.

[sel750]

Thanks Patrick. you have helped me alot

[MrElcid123]

Got a test on this tomorrow in AP calculus, actually got this in the last 5 minutes, my body is ready :)

[lambogeek]

Dude...thanks a WHOLE lot!!! I keep messing up simplification, and now got it!!!

[mectech69boost]

def need a lot of help with this calc... please

[purefired]

i want to send you a cake.

[punkrockzoie]

Thank you sooo much. I've been studying like crazy this week but things didn't quite click until I watched a few of your videos. I'll keep practicing!

[gulparo]

OMG!!! its kinda complicated bt gettin there :) thnxz much Patrick for this video

[JoshuaTaylor1992]

I like using "lodhi minus hidlo over lo squared :) helps me memorize quotient rule so much more easily. sounds like a song :P

[nsinklier]

Thanks, that was very helpful.

[AquaLibra1021]

Thanks a ton! Your videos were really helpful!

[Asterixarcher]

A good way to remember the quotient rule is

(Low Dhigh - High Dlow) / low low

Where D is derivative

[Robbery1211]

There was a part in here where you simplified the fractions. I do not know if that is the exact name for it. But I am referring to the part where you simplified an equation to the third power from an equation to the fourth power and added the equation to the fourth power again. If you watch your video again, (I am talking about the part where the time is at 3:32). Can you explain this a little further. I am lost.

[Robbery1211]

There was a part in here where you simplified the fractions. I do not know if that is the exact name for it. But I am referring to the part where you simplified an equation to the third power from an equation to the fourth power and added the equation to the fourth power again. If you watch your video again, (I am talking about the part where the time is at 3:32). Can you explain this a little further. I am lost.

[chupakabra]

Isn't it possible to just use the product rule for division instend of having to remember two formulas or working with the trickier quotient rule. I think I read somewhere about that but I can't remember where.

[xghoulxx]

@chupakabra you can just do this: square the bottom. take the product rule with a minus sign on top and then multiply times a negative sign. it would be like -(f g'-g f')

[xstncd]

Thanks Alot! You > My Teacher!

[alanezi1200]

thank you

i have a test on Sat i want from you just advice me how to learn and keep it simple in my mind please im waiting on my page

[coloradogrizzlybear]

Thank you, this helped me a lot. I found that I was fine getting the derivative, but that simplifying/factoring out was the part that was bothering me.

[username14657]

You're awesome!!

[Joncheng1]

THANK YOU!!!!!

[YummyVixiin]

i dont get it... ahhh calculus is so frustrating..

[jeuxdeau2009]

never mind sorry , i finished the video and saw that you corrected it

[jeuxdeau2009]

Hey Patrick,

what happened to the (1\2) power  on the (x^2+5) term at time 2:47?

[1a1a2a3a]

I can always get to the point at 2:12 but after that i mess up.

[theworm1212]

same =/

[FeVaR]

patrick your videos have helped me alot, i wanted to thank you for that

[patrickJMT]

happy to help!!

[patrickJMT]

keep trying : ) it is tricky at first!

[pax2171]

Allllllllllllllllllllriiiiiiii­iiiiiiiiiiight.

[patrickJMT]

u said it

[calculus100]

Buen trabajo amigo. Felicitaciones desde Venezuela.

Gracias por tus aportes...

[patrickJMT]

thanks calculus100, i appreciate your nice comments : )

[Syruscleat]

Very refreshing Dude.

[ProfaneMinority]

i dont get how the 1/2 cancels out the 2x ? dont u have to time 1/2 by(x^2+5) ? or can u times it by any number?

[Chafezi]

i know its 3 months late but...

1/2 x 2 = 2/2 = 1

You can do it because all terms are being multiplied together at that step

[MathMikie]

it doesn't simplify you said it doesn't because b^2_4ac is negative which means the roots will be complex but can it still simplify even if the roots are complex

[patrickJMT]

well, if the discriminant is negative, it means that the quadratic will not factor into the product of two linear factors with real roots... so that is about as simplified as it would get! (using real numbers)

[gellybelly2]

Thanks Patrick. Another great derivative problem. :)

[patrickJMT]

thanks gellyb!

[born2race17]

In our AP Calculus class, we were taught a bit more humorous (and catchier) way of remembering the formula for the Quotient Rule. We learned it as:

HoDhi-HiDho/ HoHo

Where:

Ho - Denominator (Ho rhymes with "low")

Hi - Numerator (Hi is just..."high")

Dho - Derivative of "ho" (D=Derivative)

Dhi - Derivative of "hi"

It just sounds a bit better that the formal way, and it's a pretty good brain trick to memorize it. It sounds pretty cool to say, as well, like a song. ^_^

[GBCE]

guess what, nobody cares.

[patrickJMT]

yes, some girl started singing that in a calc class of mine once.. i had no idea what she was talking about : ) she just kept singing it...