I currently take part in a biology-math master degree because I want to include more math in biological systems and oh boi was I lost the first week and so frustrated. But seeing that other knowledgable people also help themselves via scripts or have to double check sometimes is so reassuring! This meme video helped on a lot more levels than Andrew realizes :D
The math gets pushed out by the Feynman rules. It also becomes a lot more important to learn to approximate functions than to solve them analytically. And in theoretical particle physics it is very rare that you actually perform many of the differentiation rules seen in high school.
I can't believe flammable is just casually doing double chain rule calculations in his head this is a man who deserves to be respected and feared in equal measure
We are all proud of him. But, to be fair, Papa Flammy is living in a house owned by Papa Star, so I guess they are both adopted by him.. in a way, that is...
But these are all compositions of elementary functions. It really isn't that hard to differentiate them with the chain rule and product rule. It's the notation that makes them so awful.
I actually think Jen's differentials and integrals (without the caveats and completely ambiguous ones) are a nice teaching tool to get people used to bad notation (which you'll see plenty of in a mathematics education.)
7:29 Andrew what are you doin?? Use the fundamental theorem of engineering: sin(x) = x and cos(x) = 1, so you only have to differentiate with respect to simley sin(1)
This was immensely entertaining. Those derivatives simultaneously make me glad that I no longer have to do homework and make me want to do a refresher on my calculus knowledge.
After a few years, I'm gonna come back to this video and watch it again, but that time I'll have full understanding of what and how the hell they solve those equations.
@Lakshh Taneja Tbh I have no clue on solving integrals😂 Im a poor german guy who is fifteen and tries to learn integrating in a "professional" (not boring) way.
Sir for question 8 -> d/d3 (cos x)^3 we can lets say u = (cos x)^3 ; taking logarithm on both sides ; ( we need to find du/d3 ) ln u = 3 ln cos x ;differentiating with respect to 3 d (ln u)/ d3 = d ( 3 ln cos x)/ d3 du/d3 * d(ln u)/du = ln cos x * d(3)/d3 + 3 * d(ln cos x)/d3 du/d3 * 1/u = ln cos x + 0 du/d3 = u * (ln cos x) ; putting u = (cos x)^3 du/d3 = ((cos x)^3) * (ln cos x)
@10:00 you just do chain rule for the three nested functions. Your python solver led to a trig sub that made the answer look even more complicated than it really was.
Any time I’ve seen you do a collaborative video with other math/science youtubers, I’ve had a hard time finishing the video. I really enjoy your humor, but I feel like a lot of the other guys just can’t really pull it off or contribute much. I think your stuff with Flammable Maths is the first collab that I’ve really enjoyed and wanted more of. I definitely encourage you to keep bringing him around and I can guarantee I’ll be watching if you do.
Andrew: "This was difficult cause I don't have a good feel for Jens' sense of humour" Also Andrew: "I hate those challenges you put in like use your left hand for... something" Jens: WHEEZE
Awesome video! Andrew you should've used this for the degree diff: sp.exp(3*x) * sp.cos(x) instead of np.e which will return e as a symbol and not evaluated, and your answer is the right one.
9:45 Interesting note with that one. Curiously enough the program decided to replace sec^2(smiley) with (tan^2(smiley) + 1). I'm curious why it would go about it like that...
When ur halfway through calc AB and are mentally scarred by the derivatives they're doing because you yourself have immense trouble doing simple derivatives...
![You Laugh, You Integrate... [ feat. @AndrewDotsonvideos ]](http://i.ytimg.com/vi/7zgCl9j-SjA/mqdefault.jpg)
This is one of the crowd favorite events in the Virginity Olympics.
KEKW
These commenters are truly medalists in the Virginity Olympics
Until they differentiate your girls ass
this type of virginity pays off really well 💵
@Iraida Hoopes Hello FBI.
They're competing in gaming chairs. That's when differentiating gets real.
andrew: teaching tensor calculus and is taking a phd in theoretical physics
also andrew: the integral of ln x is 1/x right?
Bruh the amount of things they have to remember over the years is insane sometimes to double check something simple is best..
Well. It is normal to forget things when you dont practice anymore
@@brunao_matoss Not really people arent perfect and like robots even the best of us make silly mistakes its part of being a human...
@@dildobaggins2759 thats what i meant
The integral of 1/x is lnx. The integral of lnx is xlnx-x
Seing Andrew differentiate gave me hope of getting my physics degree
I currently take part in a biology-math master degree because I want to include more math in biological systems and oh boi was I lost the first week and so frustrated. But seeing that other knowledgable people also help themselves via scripts or have to double check sometimes is so reassuring!
This meme video helped on a lot more levels than Andrew realizes :D
The math gets pushed out by the Feynman rules. It also becomes a lot more important to learn to approximate functions than to solve them analytically. And in theoretical particle physics it is very rare that you actually perform many of the differentiation rules seen in high school.
@@sploofmcsterra4786 update: tomorrow I will take the last exam I need to get my physics degree (nuclear physics). I'm so happy!
@@ocanehauncanedichieilcane How did it go man
Andrew: “Fugacity.”
Jens: *Dies laughing*
I lost my ability to do math when I discovered mathematica
Principia mathematica?
"Ok class we need to integrate over all of space" me: "ok so Int[f,{x,-inf ,inf}]"
@@maxwellsequation4887 lol
@@CCequalPi
Uhhhh... A=bh/2
@@saintpoli6800 does that mean space is a triangle
Nobody:
Maths Teachers: YoU LaUgH YoU DiFfErEnTiAtE !
Nobody:
Me: Please let this fuckin stupid nobody trend die already
@@philidor9657 looks like someone can’t differentiate
Nobody:
Philidor: Please let this fuckin stupid nobody trend die already
Nobody:
Vincent Davis: Nobody:
Philidor: Please let this fuckin stupid nobody trend die already
Tbh if my maths teacher did this it would make online lessons a lot more engaging
I laughed out loud SO hard at "yeah I took a similar approach i think".
Christ dude.
Almost lifen't me.
Lmfaoo same
I can't believe flammable is just casually doing double chain rule calculations in his head this is a man who deserves to be respected and feared in equal measure
ON YOUR KNEES INFRONT OF THE SUPREME FLAME
The chain rule is pretty easy tho... but good on him!
It's supposed to be hard?
@@utkarshsharma9563 Doing chain rule for differentiation on paper, is shame for JEE aspirant 😅
@@subhranshusekhar6788 true
What got me the most was 11:48 "I got this from 'thermodynamic memes for adiobatic teens.'" Something about that was hilarious lol
Glad to see you’re finally acknowledging how great it is to live in Papa Flammy’s basement
We are all proud of him. But, to be fair, Papa Flammy is living in a house owned by Papa Star, so I guess they are both adopted by him.. in a way, that is...
21:45 That typical physics student face in pure maths lecture.
What's that space called??
@@stefanovetri6058 Banana... sorry Banach space
#215! Great collaboration guys! ~Mom 💕
Incredibly wholesome.
Flammy: It's not to hard
Andrew ( and everyone else): 😑
But what if I found it easy?
Us flammy bois be like: *Pathetic*
But these are all compositions of elementary functions. It really isn't that hard to differentiate them with the chain rule and product rule. It's the notation that makes them so awful.
@@EebstertheGreat he meant computing it in your head.
This notation is actively making me worse at math
It's crazy how you and him both have a youtube channel,
It's almost like this was planned.
wtf o.o such a coincidence!
Lol "if it made no sense, Jens might get a kick out of it." Dotson, the low key savage 😂😂
German humor in a nutshell.
Typical friendship, 'the weird guy' and his friend who is just facepalming over his friend xD
17:50 I think you forgot to raise the one half to the y-th power
Me as a Calc 1 student: yes, I recognize d/dx.
Papa Dotson: *You laugh at me, you differentiate under the integharal sign my boi*
I actually think Jen's differentials and integrals (without the caveats and completely ambiguous ones) are a nice teaching tool to get people used to bad notation (which you'll see plenty of in a mathematics education.)
2:07
As someone who uses left hand always, I can see this as an absolute win!
Papa Flammy and Daddy Dotson at it again
PARTH G
Ma pappy
Hlo sir big fan
the funniest part of this video is a physicist doing actual math
Watching those bois differentiate is almost as smooth as the segway into the sponsored part.
"it's goving me a bunch of 2.71s is that e?"
true phd right here
7:29 Andrew what are you doin?? Use the fundamental theorem of engineering: sin(x) = x and cos(x) = 1, so you only have to differentiate with respect to simley sin(1)
I think that 3rd derivative question does not even exist lol😂😂
I love how Jens laughs more at the differentials than the memes
Great to see you guys collab! Very comedic and well done!
This was immensely entertaining. Those derivatives simultaneously make me glad that I no longer have to do homework and make me want to do a refresher on my calculus knowledge.
I don't understand crap so I just laugh when they laugh
*intelijese 100*
I understood Thinkin Bout Heat. When do I get my diploma?
Amazing how math duels have evolved 😂
After a few years, I'm gonna come back to this video and watch it again, but that time I'll have full understanding of what and how the hell they solve those equations.
The look on Andrew's face when Papa Flammy said "it's not too hard" lmao
Him: proceeds to use python for differentiating
Also him: Doesn't use a random number generator, instead hopes to get a new number
“I took a similar approach” had me dying 😂
Had to laugh because of the title, what should I differentiate?
What shouldn't you ?
Haha I laughed at this comment. What should I differentiate?
@Lakshh Taneja Tbh I have no clue on solving integrals😂 Im a poor german guy who is fifteen and tries to learn integrating in a "professional" (not boring) way.
@Lakshh Taneja Haha ok I feel you😂 I'm actually trying Feynman-Integration but its really hard to understand, I need basics :(
Differentiate ШЩшщsin(Ш^(Щш)) with respect to Щш assuming Ш and щ are constants.
"Mom, I want one more meme!"
"We have one more meme at home."
Meme at home: 23:31
The "is your child texting about termodynamics" almost made me choke on my coffee
When Papa Flammy mixes up differentiation with integration
You can do podcasts this way, you're talking with someone while doing integrals :O
Rather watch this then study for my complex analysis final.
Andrew's face at 10:00 really had me. Guess I have to differentiate now
When you want to see the last meme before the video ends:
Andrew: “THE GREAT COURSES PLUS”
Quick Question: What are those giant Tablet/Computer things? They look great!
Loved how he hearted the question but didn't answer.
10:16 "I took a similar approach I think" literally me with all my math mates
Flammable Maths literally does the Ling Ling workout for Maths
22:30 You can write e^3°*cos(°) as e^3°/(1/cos(°) ) and use quotient rule. Numpy has the right solution.
Regards,
an engineer
ok but i don't remember the quotient rule can i derive it from the product rule first
Quotient rule is product rule.
I laughed more from flammable maths laughing than the memes 😂
"Two to the tooth power" 🤣🤣
this feels like peak geekyness. instead of laughing and getting slapped... you do math. I LOVE IT
When Papa Flammy started talking about Bananach spaces and you looked at the Camera like in The Office... I felt that.
started watching this channel before i took calc, now coming back after learning differentiation so i can actually understand it!
"Can we even call it two squared?" Damn he's asking the real questions! :D laughed my ass off man :D
Sir for question 8 -> d/d3 (cos x)^3 we can
lets say u = (cos x)^3 ; taking logarithm on both sides ; ( we need to find du/d3 )
ln u = 3 ln cos x ;differentiating with respect to 3
d (ln u)/ d3 = d ( 3 ln cos x)/ d3
du/d3 * d(ln u)/du = ln cos x * d(3)/d3 + 3 * d(ln cos x)/d3
du/d3 * 1/u = ln cos x + 0
du/d3 = u * (ln cos x) ; putting u = (cos x)^3
du/d3 = ((cos x)^3) * (ln cos x)
I’d differentiate the hell out of those functions without laughing.
@10:00 you just do chain rule for the three nested functions. Your python solver led to a trig sub that made the answer look even more complicated than it really was.
Physics memes were good. Thermodynamics one was 😆
I don't often laugh at memes, but this one got me. xD
Boy remember boltzmann
As an engineering student and math tutor for my college campus. I feel so much better being able to do most of these in my head
Everybody gangsta till you start to differentiate in respect to degrees
That ad Reading was smoother than a damped harmonic oscillation
Any time I’ve seen you do a collaborative video with other math/science youtubers, I’ve had a hard time finishing the video. I really enjoy your humor, but I feel like a lot of the other guys just can’t really pull it off or contribute much. I think your stuff with Flammable Maths is the first collab that I’ve really enjoyed and wanted more of. I definitely encourage you to keep bringing him around and I can guarantee I’ll be watching if you do.
now i know which kind of content i need. this was hella entertaining
15:08 papaflammy’s laugh is just the best
At 22:43 papa flammy integrated instead of differentiating, which is why he got a different answer. He got (3-i)/10 via a complex conjugation.
That sponsor segue... perfection. I hope you differentiated something after you laughed at it
idk if its possible but would you be willing to submit the doc with the differentiation questions? for fun
I put it in the description
@@AndrewDotsonvideos thanks,
can you plz tell me the name of the device that you both use ?
i mean the device that you write on.
@@عمر-الصاوي he did a video on Noethers theorem and its derivation where he is sponsored by it, I can't remember the name
Andrew: "This was difficult cause I don't have a good feel for Jens' sense of humour"
Also Andrew: "I hate those challenges you put in like use your left hand for... something"
Jens: WHEEZE
@7:30 Simply apply the fundamental theorem of engineering: tanx=x\implies d/dx (sin(cos(tanx))= d/dx(sin(cosx)), cosx=1\implies =d/dx(sin(1)), sinx=x\implies = d/dx 1 = 0
"No no sir I was able to change my operators; you see I was working in the banana space"
22:25 I can't stop laughing about this fragment 😂
oh man, can't wait for a part x!
Awesome video! Andrew you should've used this for the degree diff:
sp.exp(3*x) * sp.cos(x)
instead of np.e
which will return e as a symbol and not evaluated, and your answer is the right one.
THERMODYNAMIC MEMES FOR ADIABATIC TEENS HAD ME DEAD
9:45
Interesting note with that one. Curiously enough the program decided to replace sec^2(smiley) with (tan^2(smiley) + 1). I'm curious why it would go about it like that...
Probably just doesn’t like not using strictly sin, cos, and tan.
When ur halfway through calc AB and are mentally scarred by the derivatives they're doing because you yourself have immense trouble doing simple derivatives...
Knew something was up when you didnt have your headset on anymore
I came here from Papa Flammy’s channel and I’m definitely looking forward to it 😂
When you watch it and don’t understand what they’re doing math wise but are here for the memes
Here is how to find someone who won’t laugh.
*Find someone who didn’t invest in math.*
Why are they doing this in a so difficult way?
That plug was genius
It feels like forever since a video was sponsored by the gcp
Fugacity: is rejected
Yang Lee Zeros: am i a joke to you
me a freshman in highschool doing trig homework right now and having no idea what the hell is going on
I would have the straightest face ever if it was You Laugh You Integrate
"...so x squared basically" got me
9:35 come on man the chain rule is so so easy on this one
Andrew: *Gives number 3*
Flammy: Differentiate 2^2 with respect to 2
Me: *Stares into the invisible camera The Office style*
ChE student here and that fugacity one got me lmaooo
I love the contrast reactions at 10:43
8:22
Hey was about to write fucc this shit 😂😂
18:54
Absolute value be like : ln(x) is defined for all x in physics
I learned more calculus here than my calculus lectures
i am a 16 year old and i found a good way to solve differentials and integrals without getting bored. MEMES
The one mole of gas really got me ROFL.
hmm sympy making a mental note of that edit: also Flammable laugh is contagious
the online integral and derivative calculators are my best friends