Patrick, I have to thank you for the clear math tutorial you are offering online via youtube. I am a student in one of the colleges in Ontario, Canada and just enjoy watching your math and calculus problems with your fascinating explanation. So clear, that I get it right after watching one or two times about a problem I have! I thank you for everything you do to your community and others by taking time, video recording these math problem solving. Sam
Haven't gone to math class the entire unit. Test tomorrow at 10:30, haven't learned a thing due to my laziness. However, thanks to aderol, an all nighter, and patrickJMT, I may be able to ace this fucker. You're a fuckin' bro JMT, a fuckin' bro.
zjuan8 lol yeah me too, after I posted that comment, I was like, "Wait, I need to know this for finals, don't I.." The past always comes back to haunt you, I swear -__-
Thank you! I've been looking at Khan Academy because all the comments say it's so great and was staring at his videos like an idiot. You clear everything up!
i'm studying for my EIT (engineer in training) exam, saw your video on the side and the memories came rushing back. made me happy. I had to stop by and show some love.
once you have it factored, you set each part equal to zero. since 6 can not equal zero, we just leave it out. and for the factoring part: i use the difference of perfect squares formula: x^2 - y^2 = (x + y)(x - y) so to factor x^2-1, use x^2 - 1= (x + 1)(x - 1) and the same thing on the 5x^2-1 part!
+Kevin Carrasco Hahahaha I second this. I'll even throw a speech for you when I do my walk to pick up my diploma. "I could not have done without w/o +PatrickJMT"
You are a lifesaver! I am currently enrolled in an online calculus class and there is NO lecture. I just can't get these concepts without seeing and hearing someone explain it. I've lots watched of videos, and yours are some of the best. I'm telling the rest of my class about you. :)
I loved PatrickJMT when I was taking calc four years ago and I still love him today as I am tutoring and he makes great refreshers. Thank you PatrickJMT!
The fire alarm was going off in the background but Patrick disregarded it and put his life on the line in order to save math kids around the world from failing. A real hero . :)
I just wanted to thank you so very much for the amazingly easy to understand videos which you have posted all throughout UA-cam. I got a 97 in calc b/c of you PatrickJMT!! Keep it up! :)
Just wanted to say-- My math department steals problems from MIT, and this is the exact first example they had me doing in my homework. No coincidence- you're a great teacher!
Here is my day... Go to calculus class and become confused. Go home and get on this channel Find exactly what my teacher was trying to explain on said channel Finally understand!!!
Dear Patrick, Thank you so much for uploading all of these videos! I know this is bad, but I occasionally I fall asleep in my AP Calculus AB class and miss parts of the lesson. Your videos are PERFECT for filling in my mental holes. I really think UA-cam should give you an award or something for your contributions. :) PS i love your handwriting.
Patrick, you rule!! Wish I could replace my Calc I teacher for you instead. You get way more done way faster and explain so much better. Probably gonna be destined to re-taking Calc, but you've "got my back" so to speak.
Yes, you are correct with everything you did in that 2nd problem you did. 1 divided by the square root of 5 is about .447 or .45 depending on how you want to round it up. Between the numbers 1 and the fraction problem with the square root sign, no matter what number between those numbers you plug back into the 2nd derivative is going to be negative either way. And you know, what else is unique about this problem is that this problem is showing that the concavity keeps flipping up and down. It's very wavy when you graph it.
My calculus book...is terrible at giving clear examples (Some are good but are either too easy or are exceptions to the normal problems)...so thank you very much for your examples. Makes the whole process a lot easier. I can't imagine how many test scores you have single handedly improved solely because of these videos.
The 2nd derivative is just the derivative of the 1st derivative. Ex: F(x) = X^2 + 3x 1st derivative: F'(x) = 2x + 3 2nd derivative: F''(x) = 2 Hope that helps!
makes me so happy when i understand this stuff! ahah. i use your vids every day for calc & feel like i should thank you in every vid i use! so thanks :)
I thought it was hilarious how I could hear a saw and a car horn going off at the same time in the background. I don't know why I found it funny. I have an exam next week and a final in 6 weeks, thank you Patrick.
first one was critical points , which is used to check whether the function is decreasing or increasing and this one is inflection point .Inflection point is where the concavity of f(x) changes (goes from conave up to concave down, vice versa).
+Max Hollander Are you talking about the zero product property? You can set all the polynomials individually to 0 and solve for the x's in the lone polynomial as long as you do it for all of them. Which is why he gets x^2 -1 = 0. And you just solve for X accordingly which is + 1 and -1. He then does the same for the 5x^2-1
You have to plot the values 1, -1, 1/sqrt5 and -1/sqrt5 on a number line like he did and then you have to test the numbers around these plotted points. So you have to find a # left and right of the plotted values and then plug them back into the 2nd derivative to see if you get a positive or a negative answer. If you get a positive answer then that means you have a concave up and a negative answer means concave down.
first derivative is used to find increasing/decreasing local max/mins
second derivative can be used to find concavity and local max/mins (usually)
where is point of inflection
@@MUNIR_FF011concavity
Concave up like a cup
Concave down like a frown
Let's see how I do on this final tomorrow :)
did u pass
I LIKE THAT im going to use it
Huh
had mr hall, huh?
Burly how'd you do
Patrick, I have to thank you for the clear math tutorial you are offering online via youtube. I am a student in one of the colleges in Ontario, Canada and just enjoy watching your math and calculus problems with your fascinating explanation. So clear, that I get it right after watching one or two times about a problem I have!
I thank you for everything you do to your community and others by taking time, video recording these math problem solving.
Sam
Stephane Lombardo tag him if you want to ensure that he will read your comment
Haven't gone to math class the entire unit. Test tomorrow at 10:30, haven't learned a thing due to my laziness. However, thanks to aderol, an all nighter, and patrickJMT, I may be able to ace this fucker. You're a fuckin' bro JMT, a fuckin' bro.
lmao this is me right now, never gonna miss class again, even though my teacher sucks dick.
haha this was me 4 weeks ago too! lmfao
Harnoor Singh this is me now lmao
zjuan8 lol yeah me too, after I posted that comment, I was like, "Wait, I need to know this for finals, don't I.." The past always comes back to haunt you, I swear -__-
Jonathan Nieder this is me right now
You've just explained in 10 minutes what my lecturer couldn't explain all semester...THANK YOU
I swear, you are the best tutor in the world. Not even exaggerating over here !!!! May God continue to bless you and increase you in knowledge,
Your explanations are much better than anyone else's on UA-cam. You put the math into plain English; I appreciate your explanations.
Thank you! I've been looking at Khan Academy because all the comments say it's so great and was staring at his videos like an idiot. You clear everything up!
i thought i was the only one who failed to follow khan academy
9:18- "yuck" - made me laugh so hard
jjeon 98 hahahaha
i'm studying for my EIT (engineer in training) exam, saw your video on the side and the memories came rushing back. made me happy. I had to stop by and show some love.
During first example: “oh okay, it looks simple”
Second example: “wtf....”
😂😂😂😂😂😣
for real!!! LMAO
once you have it factored, you set each part equal to zero. since 6 can not equal zero, we just leave it out.
and for the factoring part: i use the difference of perfect squares formula:
x^2 - y^2 = (x + y)(x - y)
so to factor x^2-1, use
x^2 - 1= (x + 1)(x - 1)
and the same thing on the 5x^2-1 part!
the car alarm was killin' me lol great vid tho very explanatory
Seriously I thought it was just me! But, yeah, still helpful.
it sounds like a hospital monitor....i think he might be in a hospital
i love you man, when i graduate, im going to buy you a bottle. #truuuuuu
+Kevin Carrasco will there be anything any it?
+patrickJMT just a receipt if you want to return it. Thank you for your work.
+Kevin Carrasco Hahahaha I second this.
I'll even throw a speech for you when I do my walk to pick up my diploma. "I could not have done without w/o +PatrickJMT"
@dark he didnt
same, IF I graduate...
Patrick thank you so much for your contributions to the world. You have decreased the number of headaches caused by calculus. Again thank you.
You are a lifesaver! I am currently enrolled in an online calculus class and there is NO lecture. I just can't get these concepts without seeing and hearing someone explain it. I've lots watched of videos, and yours are some of the best. I'm telling the rest of my class about you. :)
Dude, I love your explanations... its so much clearer than my teacher!!! And I love that your voice is not freakin monotonous.
I am watching this video 11 years after you posted this, and it still helps
I loved PatrickJMT when I was taking calc four years ago and I still love him today as I am tutoring and he makes great refreshers. Thank you PatrickJMT!
The fire alarm was going off in the background but Patrick disregarded it and put his life on the line in order to save math kids around the world from failing. A real hero .
:)
Thank you so much sir!!!!! This is a far better explanation then most of the teachers/tutors that I've had!
Patrick you are by far the best instructor... Thank you for taking the time to do this service. MUAH!!!
I just wanted to thank you so very much for the amazingly easy to understand videos which you have posted all throughout UA-cam. I got a 97 in calc b/c of you PatrickJMT!! Keep it up! :)
if at a point, the function changes concavity, it is an inflection point
i'm very sleep deprived rn and the car alarm fucked me up.... kept pausing the video and stopped hearing it and definitely thought i was crazy ahahah
+Courtney Sherwood me too!!
Honestly, I can't thank you enough. You've explained it so clearly!
These videos are the only way I am passing Calculus! Thnx so much!
man, your videos are so helpful....
i seriously need to refer to them more often.
happy to help :) just think of patrickjmt talking to you when you take your final!
holy shit i have a midterm in 5 days, and this is the most useful channel ever. wheres the donation button
Can't wait to stomp on my final tomorrow. I've done all your example problems so far and I have done everything correctly. I'm ready
Just wanted to say-- My math department steals problems from MIT, and this is the exact first example they had me doing in my homework. No coincidence- you're a great teacher!
i like how these videos can cover almost a whole semester in about an hour
Someone give this man a diamond medal.
Thank you so much. My math professor is impossible to understand, and you somehow make everything clear and easy!
all your vids are helping me alot for my upcoming tests and my midterm next week haha. very much appreciated man
Here is my day...
Go to calculus class and become confused.
Go home and get on this channel
Find exactly what my teacher was trying to explain on said channel
Finally understand!!!
thank you so much! i learned a week of calculus within 30 minutes thanks to your videos!
Dear Patrick,
Thank you so much for uploading all of these videos! I know this is bad, but I occasionally I fall asleep in my AP Calculus AB class and miss parts of the lesson. Your videos are PERFECT for filling in my mental holes. I really think UA-cam should give you an award or something for your contributions. :)
PS i love your handwriting.
yep I've had the exact same experience. Luckily we have Patrick here to help us with our algebra too!
dude this is excellent. I am doing calculus after seven years and now using it in my masters and your videos especially this one helped me alot.
This is so understandable and makes what was a foreign language to me very simple.
Most helpful guy to get you through engineering.
15 years later and still incredibly helpful 🙂
A simple video like this can make such a difference. Thanks
AP Calculus Exam is coming up. Reviewing with your videos makes me really confident!
I am reviewing for my calc final using your vids. You are awesome, and I'm hiring you as my free internet math tutor. You are awesome!
Patrick, you rule!! Wish I could replace my Calc I teacher for you instead. You get way more done way faster and explain so much better. Probably gonna be destined to re-taking Calc, but you've "got my back" so to speak.
You teach me more than my actual Calc teacher, good work m8
Yes, you are correct with everything you did in that 2nd problem you did. 1 divided by the square root of 5 is about .447 or .45 depending on how you want to round it up. Between the numbers 1 and the fraction problem with the square root sign, no matter what number between those numbers you plug back into the 2nd derivative is going to be negative either way. And you know, what else is unique about this problem is that this problem is showing that the concavity keeps flipping up and down. It's very wavy when you graph it.
Thanks bae. You helped me with my final
My calculus book...is terrible at giving clear examples (Some are good but are either too easy or are exceptions to the normal problems)...so thank you very much for your examples. Makes the whole process a lot easier.
I can't imagine how many test scores you have single handedly improved solely because of these videos.
The 2nd derivative is just the derivative of the 1st derivative.
Ex: F(x) = X^2 + 3x
1st derivative: F'(x) = 2x + 3
2nd derivative: F''(x) = 2
Hope that helps!
at what time in the video?
i could have made a mistake!
you are the reason i am passing math! thank you!!
words can't describe my love and appreciation, thank you man!!
Thanks for the help! You got me through my last unit exam and hopefully the next!
If it wasn't for your videos, I wouldn't have passed precal 1 & 2 and calc 1. Thank you so much!!!11
that damn car alarm driving me NUTS
ends @ 3:34 haha
gilbert5646 i still hear it ringing in my ears
are you in the hatch from Lost?
makes me so happy when i understand this stuff! ahah. i use your vids every day for calc & feel like i should thank you in every vid i use! so thanks :)
if i do well at all on my calc final, it will be one hundred percent be because of your videos. thanks!
You are a bold man doing calculus in a sharpie.
thx! now I'm pretty confident about my calc test tomorrow! :)
can you please be my calculus professor? your 10 minute videos are more helpful than my calc prof's hour long lectures
OMG you were in my dream last night.. I guess I watched too many of ur Maths Tutorials yesterday..
thanks sir
you`re awesome, i refer all my friends to your website and they like it so much.
The day before my AP Calculus BC Exam = A study date with PatrickJMT
@TheAlbania91 i sometimes turn on about 20 different random videos of mine at the same time and listen to them
@LARSI0N well, that was an old rule i had at the time. now i can post things that are as long as i want :)
I swear, no matter how many times I watch this I can never understand it. Maybe I shouldn't be in AP Calculus lol
your not alone broseph lol
wait, this is my professor was trying to say.... wish i had seen this channel mid semester. thanks
I thought it was hilarious how I could hear a saw and a car horn going off at the same time in the background. I don't know why I found it funny. I have an exam next week and a final in 6 weeks, thank you Patrick.
ah! the days where youtube had a time limit on videos... I surely remember these
I had to work all day and i have a calc final in the morning and youre saving my ass right now
My life depends on my calculus final next Tuesday. I wish I had found your videos sooner; there is still hope though!
@JIAQIR hahah please, everyone : )
thanks for the compliment
first one was critical points , which is used to check whether the function is decreasing or increasing and this one is inflection point .Inflection point is where the concavity of f(x) changes (goes from conave up to concave down, vice versa).
Saw this in class, good job
hey there! thanks for the videos, I was just wondering if anyone could explain to be what happened at 6:11 thank you!
You have really helped me out so much! Thank you so much for making these videos!
yes! absolutely correct
i am now ready for the AP test. thank you good sir
u can really make these problems sound so easy!! :)
Man you the real MVP!!! Thank you!!!!
why can't you just write my maths textbook? i wasted so much money buying it. Thanks a lot Patrick!
He has a Calculus book that you can buy. Definitely worth the money
I know right
+Cameron Aminian wait what? is this for real??
THIS WAS SO HELPFUL THANK YOU
Thanks man, you're a lifesaver.
Thank you so much. I wish I could understand my calc teacher. His accent is just so thick.
thankyou a hundred times so so so much cause i was about to give up and take an L on my 100pt test tmrw but now i understand:)
Do you have any videos which show how to find inflections points?
BTW your videos seriously helped me a lot in CALC 1
Off to my math final. Hope I do well!
Thank you as well!
Well I watched this 12 times along with some of your other videos, gonna kill the exam tomorrow♥️
@iloveBeaver1 glad you like my stuff : )
What does he do around 6:28 . I understand up until that point where he finds the X's what is the theroum for separating the polynomial?
+Max Hollander Are you talking about the zero product property? You can set all the polynomials individually to 0 and solve for the x's in the lone polynomial as long as you do it for all of them. Which is why he gets x^2 -1 = 0. And you just solve for X accordingly which is + 1 and -1. He then does the same for the 5x^2-1
You have to plot the values 1, -1, 1/sqrt5 and -1/sqrt5 on a number line like he did and then you have to test the numbers around these plotted points. So you have to find a # left and right of the plotted values and then plug them back into the 2nd derivative to see if you get a positive or a negative answer. If you get a positive answer then that means you have a concave up and a negative answer means concave down.
helped me out so much. thank you!
This is so much help, thanks!
Thank you so much for your videos Patrick, you've really helped me out!
ALL HAIL SIR PATRICKJMT!