Great example i love when people explain things with hard examples, my teacher gives the easiest example to teach it but sends us home with examples that are 20 times harder 😬
Much easier to understand when you see an example worked out. I liked the description, "that part we are done with... it just keeps getting carried along."
You are life saving man. All of these videos are simply life saving. Here I am in calculus 1 my sophomore year in college with a crumby professor and your videos are going to help so much. I was so down in the dumps last night thinking there is no way I can recover in this course, but now you have sparked a little flame of encouragement within me I did not know existed. Woo! I am going to be watching all your videos from now on.
Thanks so much man. You don't understand I have a TERRIBLE teacher for my AP Calculus class... in the beginning of the year I got a 57 on my first test.. after that a friend who graduated recommended your videos and since then I got an 84 on the next test, an 100 on the next quiz, a 94 on a quiz yesterday.. and I'm confident for once going into another test on Thursday. You are the best. :')
Patrick why are you so easy to understand? I have my calculus exam in like 5 hours still didnt study the polar coordiantes, chain rule, max and min value...I owe you my software engineering degree to ya my man! Love you lot!
yes, they can be confusing! a couple of very smart people that i tutor were also having troubles with them, so i figured other people probably do too! hope it helps though...
@FSTK good luck with the teaching! i hope it goes well for you. i feel like the videos ARE changing the system. i get a couple millions views a month; i could not have had that sort of impact will standing in the class room. the internet is helping to fuel the great democratization of education and i want to be part of it : )
@patrickJMT I know what you mean. I'm going to be a teacher someday and I'm going to work hard to change the system. Just because the system sucks doesn't mean the students should suffer as a result, I gathered. Pay sucks, but I'm not in it for the pay. As silly as it sounds/looks. Fuck man, you're a fucking inspiration. I've no other words to describe how helpful you are to me in calculus right now that such a man couldn't stay and help change the system. We need more people like you.
love your videos! I have an exam tomorrow on this stuff and implicit differentiation. I used to understand math naturally, but this Calculus stuff, there is just a ridiculous amount of things to remember for every single problem! And it seems like the homework we are given for this stuff is 10x more difficult then what is actually taught in class.
this is the next topic in class tomorrow and we have been warned that 'after slowly progressing up the hill, the hill got steep and now it is about to become a cliff face' with the chain rule being the cliff face! so i thought maybe i should check it out before we meet our doom, not afraid at all now after that brilliant 5 minute explanation. thanks so much!
I absolutely hate calculus. However, after watching your videos and understanding the concepts I am slowly beginning to actually enjoy it. Thank You!!!
You do a great job explaining this! So often this concept is explained in painstaking detail, which can be beneficial for deeper understanding, but also leads to students like myself being confused as to how to actually solve the problems. This video (and other videos of yours) makes a seemingly challenging concept seem pretty damn simple. :)
thanks so much!!! you're my hero!!!! I was doing the derivative of y=4^5^x^2 and I was so confused. I later realized that I didn't totally grasp the concept of chain rule, and now I got the answer thanks to you :)
@FSTK i used to teach and stopped. education is now viewed like any other consumer product: i pay, you give. i felt like i had to peddle grades in some cases. i just can not be a part of it. plus, teachers make cruddy pay and get no respect; no fun there.
XD your videos are so much simpler and easier to understand/ remember than video lectures o.0....EVEN IF THEY ARE VIDEO LECTURES 0.0.....They are a different form or should i say art.
Dude I got a 56 percent on my first test too!!! Not to mention, my teacher is so hard to understand, I hope the same outcome happens to me man, I have a huge test next week. Everyone, send me your luck!!! :)
Chain Rulin' 4 Lyfe. Ty ^^ was looking for decent problems to prepare for my quiz coming on sunday ^^. But the only thing I didn't get is that once you find the Derivative of the Tangent you won't be needing to find the derivative of the rest, since when the derivative of the tangent was found, the derivative of the whole was aswell, isn't that right? Since the input of the Tan itself was considered to be differentiated aswell when Tan was differentiated. Correct me if I'm wrong.
He multiplied sec^2(cos((x^2+8x^(.5)) by the next outside term, which is the ^(.5) power. He brought it down to the front and subtracted the power by one (that is the Power Rule). Then, he multiplied THAT by the next (the last) term - x^2+8x whose derivative is 2x+8. I hope you understood what I tried to explain. :/ Sorry if I just confused you. :(
Once again, thanks a million man! You're the reason Imma get an A* in Calculus this semester! \(^.^)/ Plus you save me sooooo much tiiime! :O A topic taught in 3 days, I learn in less than 5 mins :")
I recommend doing both, there are some concepts that you need to actually discuss face to face with an instructor rather than watching a video, trust me i learned the hard way .
@patrickJMT Yes. Level 6 at least. And you'll need your +5 Derivative pen or else your likely to be eaten by a grue. DrPott3r, it's Calc 1 or Calc 2, but you won't need to learn it, just use the spell, "Solvus Maximus." And remember to spin flick your wand, not the opposite or else you'll get the integral.
I'm confused about when you keep doing chain rule. I understand why you do a chain of chain rule but, for example, when you have y=5[tan(sin(x^2 + 8x)^1/2)]^4[tan(sin(x^2 + 8x)^1/2)]', so you're going to get the derivative of the inside part, but then you go on and expand, and you don't get the derivative of the inside part, you just do the chain rule again and get sec^2 for the derivative of tan. Why don't you get the derivative of the whole of the inside stuff?
Great example i love when people explain things with hard examples, my teacher gives the easiest example to teach it but sends us home with examples that are 20 times harder 😬
brown7town7laval yep midterms in a netshell
Much easier to understand when you see an example worked out.
I liked the description, "that part we are done with... it just keeps getting carried along."
Honestly, my teacher fails to teach this material. Online videos such as these help me to actually understand. Thank you so much!
you are the reason i got the best gpa in my school and A+ grade in my school leaving exams thanks and rock on patrick
The parenthesis you put around the square root helped me immensely
You are life saving man. All of these videos are simply life saving. Here I am in calculus 1 my sophomore year in college with a crumby professor and your videos are going to help so much. I was so down in the dumps last night thinking there is no way I can recover in this course, but now you have sparked a little flame of encouragement within me I did not know existed. Woo! I am going to be watching all your videos from now on.
Thanks so much man. You don't understand I have a TERRIBLE teacher for my AP Calculus class... in the beginning of the year I got a 57 on my first test.. after that a friend who graduated recommended your videos and since then I got an 84 on the next test, an 100 on the next quiz, a 94 on a quiz yesterday.. and I'm confident for once going into another test on Thursday. You are the best. :')
1)See problem
2)Pause video
3)Attempt Problem
4)After done, skip to end
5)Answer matches yay!, I love this channel :3
perfect taught a 2 hours lecture in 4 minutes!
This is incredibly helpful! I'm studying for my midterm for tomorrow and you video finally got me understanding this rule. You're the best!
I'm sure you hear this a lot, but you honestly just untangled my misunderstandings about this in less than 10 minutes. Thank you so much.
All math geniuses are left-handed. Thanks alot Patrick. Had some tough Math test. :D
Not ALL math geniuses are left handed.
+MrBigbluejet I'm left handed, but I'm not a math genius...YET
Rimjhim Mishra But I'm ambidextrous 😪
What's impressive to me as someone who's left handed is how he writes without smearing the ink everywhere
this guy got me through pre-calc, trig, and now calc 1.
ur simply a boss
Thank you for taking your time to explain the chain rule the way you did. It clicked watching this and it feels amazing. Your the best. :-)
why did I not know about you the whole time taking my calculus class?! it would've helped me soooo much.
Patrick why are you so easy to understand? I have my calculus exam in like 5 hours still didnt study the polar coordiantes, chain rule, max and min value...I owe you my software engineering degree to ya my man! Love you lot!
this guy is a savior
Super helpful! Thank You.
very welcome!
My Calculus final is in 13 hours. These videos help so much.
yes, they can be confusing! a couple of very smart people that i tutor were also having troubles with them, so i figured other people probably do too!
hope it helps though...
Let's just call you a boss... because that's what you are.
@FSTK good luck with the teaching! i hope it goes well for you.
i feel like the videos ARE changing the system. i get a couple millions views a month; i could not have had that sort of impact will standing in the class room. the internet is helping to fuel the great democratization of education and i want to be part of it : )
In a very simple way you cleared up my confusion with the chain rule. Thank you kindly @patrickJMT
@patrickJMT
I know what you mean. I'm going to be a teacher someday and I'm going to work hard to change the system. Just because the system sucks doesn't mean the students should suffer as a result, I gathered. Pay sucks, but I'm not in it for the pay. As silly as it sounds/looks.
Fuck man, you're a fucking inspiration. I've no other words to describe how helpful you are to me in calculus right now that such a man couldn't stay and help change the system. We need more people like you.
love your videos! I have an exam tomorrow on this stuff and implicit differentiation. I used to understand math naturally, but this Calculus stuff, there is just a ridiculous amount of things to remember for every single problem! And it seems like the homework we are given for this stuff is 10x more difficult then what is actually taught in class.
Thank you so much! My calc teacher SUCKS and thanks to you, I'm not failing the class.
this is the next topic in class tomorrow and we have been warned that 'after slowly progressing up the hill, the hill got steep and now it is about to become a cliff face' with the chain rule being the cliff face! so i thought maybe i should check it out before we meet our doom, not afraid at all now after that brilliant 5 minute explanation. thanks so much!
I absolutely hate calculus. However, after watching your videos and understanding the concepts I am slowly beginning to actually enjoy it. Thank You!!!
This was one complicated problem, but good explanation.
Thanks Shananay, the extra explanation made me understand the last step and the chain rule.
Ohmygosh! You made it so simple..honestly that problem scared the crap out of me when I first saw it! Thanks a ton!
@TheNumber2Pencil546 yes, i am not a fan of that method either
of course
Patrick your videos a lot of help.I still get confused when getting these kinds of comps. even though it seems obvious once I see you expand it out.
You do a great job explaining this! So often this concept is explained in painstaking detail, which can be beneficial for deeper understanding, but also leads to students like myself being confused as to how to actually solve the problems. This video (and other videos of yours) makes a seemingly challenging concept seem pretty damn simple. :)
In "sec^2(sin(x^2+8x)) ]"
Thank You!! you explained this A LOT better than my professor.
thanks so much!!! you're my hero!!!! I was doing the derivative of y=4^5^x^2 and I was so confused. I later realized that I didn't totally grasp the concept of chain rule, and now I got the answer thanks to you :)
pretty much learned how to use the chain rule on trig questions in about 2 minutes, fantastic video
thank you this helps a lot. i am going to get a good grade on my test 2mro thanks to your videos!
You explained it in great detail, unlike my teacher! I wish you were teaching Calculus at my college. :D
@Monerasauce good luck on the midterm!
You are a great professor. thank you !
@FSTK i used to teach and stopped. education is now viewed like any other consumer product: i pay, you give. i felt like i had to peddle grades in some cases. i just can not be a part of it. plus, teachers make cruddy pay and get no respect; no fun there.
I love your way, video, and technique.
@tennis1337 no problem : )
no words will describe how im grateful to this man
thanks homie for the kind words! glad i could help you
Jesus Christ. You are a godsend. Thank you for your informative video -- I couldn't have felt confident in my chain rule without it, lol.
Great video. All calculus students salute you!
you're way better at explaining calculus than algebra (pre-calculus)
@Philliesphan007 glad to hear that you have had such a nice turn around ; )
Thank you! Very clear and concise, plus you have beautiful, legible handwriting.
thank you, it's really great to post such necessary things like this, when other youtuber post nothing but useless shameless crap
XD your videos are so much simpler and easier to understand/ remember than video lectures o.0....EVEN IF THEY ARE VIDEO LECTURES 0.0.....They are a different form or should i say art.
awesome video Patrick!! Incredibly helpful! greetings from Venezuela!
Clear explanation step by step. Thanks!
glad it helps!
@kingallen08 no, i am very hard working. a BIG difference
@tacoburn11 not everyone hates it.
You're the man, @patrickJMT
I LOVE YOU. Actually saved my life
Well done!
It's a great example, helped me a lot.
Thank you.
@muneco0211 i think they are just trying to break it down and have you see things as a composition of functions. i also do not care for that method.
Dude I got a 56 percent on my first test too!!! Not to mention, my teacher is so hard to understand, I hope the same outcome happens to me man, I have a huge test next week. Everyone, send me your luck!!! :)
awesome ,you have cleared all my confusion
Thank you. It's very helpful.
@weststep ha, happy to help. my phd mathematician wife is a lefty too, so no, that excuse will no work : )
one of the best kept secrets of youtube,
Thanks Patrick. Very very helpful. Keep up the good work!!!
God-damn, I was stressin' about Chain rules until now. You going to be a teacher someday?
Thank you for the video, it will help me out a lot, since I have a test on derivative on thursday, :(
@mylovve16 happy i could help :) i am pretty sure i have quite a few examples if you want to practice and check your work! (and my work!)
you are so clear and helpful THANK YOU!!!!
Got a math test tomorrow. He wont throw me off with these hard questions :))
patrick is my niggga
😂
GREATEST MAN EVER! THX SO MUCH!
Patrick=GOAT... just stating facts
Thank you for your videos damn I really love the way you teach
man! you're a superhero
I love your videos! I just have one question.. why dont you use the chain ruler for doing the derivative of tan(sin(..)) if it's a composed function?
thank you so much, man. much better than khan academy(take it as a compliment)
I used to be terrible at maths like you, then I took a patrickJMT to the brain.
It does make sense!! Man your the greatest!!
I gt admission into iit delhi ! Nd secured air 37 only coz of ur calculus!!!! I owe u a lot buddy!!
Thank you so much, helped me out a lot.
Chain Rulin' 4 Lyfe.
Ty ^^ was looking for decent problems to prepare for my quiz coming on sunday ^^. But the only thing I didn't get is that once you find the Derivative of the Tangent you won't be needing to find the derivative of the rest, since when the derivative of the tangent was found, the derivative of the whole was aswell, isn't that right? Since the input of the Tan itself was considered to be differentiated aswell when Tan was differentiated. Correct me if I'm wrong.
You taught me better than my teacher did with 2 weeks...
He multiplied sec^2(cos((x^2+8x^(.5)) by the next outside term, which is the ^(.5) power. He brought it down to the front and subtracted the power by one (that is the Power Rule). Then, he multiplied THAT by the next (the last) term - x^2+8x whose derivative is 2x+8.
I hope you understood what I tried to explain. :/ Sorry if I just confused you. :(
thank you so much! there is hope for me yet... Everything made sense thanks to you(:
nice job helped me out!
Once again, thanks a million man! You're the reason Imma get an A* in Calculus this semester! \(^.^)/ Plus you save me sooooo much tiiime! :O A topic taught in 3 days, I learn in less than 5 mins :")
I recommend doing both, there are some concepts that you need to actually discuss face to face with an instructor rather than watching a video, trust me i learned the hard way .
Your voice got deeper over the two videos XD
Can you explain why you subtracted the exponent from the first time you did chain rule but the other times you left the exponent alone?
@patrickJMT Yes. Level 6 at least. And you'll need your +5 Derivative pen or else your likely to be eaten by a grue.
DrPott3r, it's Calc 1 or Calc 2, but you won't need to learn it, just use the spell, "Solvus Maximus." And remember to spin flick your wand, not the opposite or else you'll get the integral.
Oh thank you, thank you, thank you. You helped me out so much.
wish me luck tmw :(
I'm confused about when you keep doing chain rule. I understand why you do a chain of chain rule but, for example, when you have y=5[tan(sin(x^2 + 8x)^1/2)]^4[tan(sin(x^2 + 8x)^1/2)]', so you're going to get the derivative of the inside part, but then you go on and expand, and you don't get the derivative of the inside part, you just do the chain rule again and get sec^2 for the derivative of tan. Why don't you get the derivative of the whole of the inside stuff?
dont be sad : ) it is only a test! : )
Oh my god! It all makes sense!! Thank you! :D