You've got a very bad philosophy towards Calculus. One might not "learn math from a book" because you are not interested at the subject! Never insult books! They are like people. You treat them properly they reward you! Doing the opposite would make you suffer! Anyway, Keep studying Jksandilya
Hello you know I have spent a whole year in the university understanding the local maxima and local minima and I always fail !!!! Really I don’t know how to thank you ,I have exam after few days and you have ease my life !? You are amazing and great and the best tutor in this whole world please keep up and also post videos on statistic this channel has to get a golden reward
Professor Organic Chemistry Tutor, thank you for a solid analysis and a step-by-step explanation of Finding the Relative Extrema/Max/Min Values in Calculus. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
you explained a concept in 14 minutes which took my professor to explain within 1 hr - not that i dont like my professor, but that's impressive good shit
Thank for you video! The lecture notes use many many words to explain this concept that made me confuse about it, while you use some simple examples to explain it clearly!!
from anhui university... this lecture is really helpful during this rapand corona wave...................................................................................................
I understand why you're asking (curiosity), but really think for a moment - how would showing his face be beneficial to him at all? None of his videos are about him, they are about math. Also, why would it matter what his face looks like? It shouldn't matter what he looks like. To be honest, the only reason anyone would want to see him do a "face reveal" is due to curiosity. Let's be real here: that's not a good enough reason for him to do it. There just isn't a good case for it. It's pointless.
But in the last example, if we plug in f(2), we get y=16, so we do get a coordinate (2,16) and that could've been the relative maximum point if we used functions to do so. But theoretically we can see that it doesn't have a relative maximum point. How do we explain that with the functions method if we are asked to show our work?
I know you probably got it by now but commenting for future people, as far as I could understand it’s because it’s a double root so if you were to graph the derivative it’d look like a parabola shaping upwards. That point is a point of inflection rather than a critical point where the second derivative changes signs, changing the concavity of the function
The description is inaccurate: where you say "f the sign changes from - to +, it's a relative maximum." should be minimum instead of maximum; same goes for + to -, for a relative maximum.
13:30 how would we determine which is the shape of the curve? I'm currently thinking that it might be taking the 2nd derivative of a function and seeing how the shape of the function changes from that point. Would that be it or am I completely off?
Hello how do we find maxima and minima of trigonometric functions for example what is the minima and maxima of the following function y=sin(x³/3- x²/2-2x+1) this is really enormous problem to me
He plugged 1 and -1 for the last example, wouldn't they both be positive? as -1-3 = -4 and you square that which is positive cause he did the same for 1 when he did 1-3 = -2 but he then squared it which would make it positive.
for the f(x) 3x^4-16x^3+24x^2 I don't understand why the critical number couldn't just stay x=2 why do we have to solve for 12x=0 when we didn't in the other problems. I dont know if this is a stupid question I just think I might be over think it, can anyone help me?
when finding the y value, on the first one we used the f(x)' then substituted the x values......but why did we use f(x) on the second example instead of f(x)' again?
Can you do it in reverse? Have 2 local max and min (eg 4, 8 and -1,-2) I tried. x=4 x-4 x= -1 x+1 x(x-1)+4(x-1) x^2 -3x -4 3(x^2) -(3)(3x) -3(4) 3x^2 -9x -12 6x -9 6(4) -9 is minimum (which shouldn't so...) Or -x = -4 -x +4 -x = 1 -x-1 -x(-x-1)+4(-x-1) -x^2 +3x +4 -3(x^2) +9x +12 -x^3 +4.5x^2 +12x +- c -4^3 + 4.5(4)^2 + 12(4) +- c = 9 -(-1)^3 + 4.5(-1)^2 + 12(-1) +- c = -2 C = 47 C = -4.5 WHAT DID I DO WRONG?
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my calc class got moved online bc of corona. this channel is literally my teacher. how did people ever learn math from a book?
Edgar Moreno same here honestly I should’ve watch this guy sooner
Word
You've got a very bad philosophy towards Calculus. One might not "learn math from a book" because you are not interested at the subject! Never insult books! They are like people. You treat them properly they reward you! Doing the opposite would make you suffer!
Anyway,
Keep studying
Jksandilya
Math is supposed to be taught not just said out loud
Hhh our maths book is the best
Already in the first 25 seconds you could teach me something that my teacher was unable to. Thank you.
💩
Hello you know I have spent a whole year in the university understanding the local maxima and local minima and I always fail !!!! Really I don’t know how to thank you ,I have exam after few days and you have ease my life !? You are amazing and great and the best tutor in this whole world please keep up and also post videos on statistic this channel has to get a golden reward
I could just listen to your voice all day.... it's so soothing....
HA GAYYY
he sounds like my friend off xbox so it's kinda strange but i agree
This guy is my hero 👌🏽
Edna Kirkland same dude!!
All of us!
True
I'm from Ethiopian Oromia
I see your Video teacher and it's good
Thank you I love so much and once day I see you
Same here from Ethiopia
By far the best video out there: quick, simple, straight-to-the-point. It helped me greatly! Thank you!
Professor Organic Chemistry Tutor, thank you for a solid analysis and a step-by-step explanation of Finding the Relative Extrema/Max/Min Values in Calculus. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
Man, God bless you. You are doing really good thing!
Teaching is the biggest charity...
you explained a concept in 14 minutes which took my professor to explain within 1 hr - not that i dont like my professor, but that's impressive good shit
Usually videos don't help me much but this one did holy fuck. This man is a god
You are a legend u saved my life I passed an exam with less than 2 weeks preparation watching ur videos ☺️
Me the day before the exam:
@@erubohinaus me some hours before exam
Thank for you video! The lecture notes use many many words to explain this concept that made me confuse about it, while you use some simple examples to explain it clearly!!
I love you so much. You are my Calculus tutor. Thank you for all your help
Im no longer even going to watch my teachers videos im coming directly to your videos.
started watching this since my finals for basic calculus is tomorrow
Great work man. I wish I'd be able to attend a class of yours someday
Thank you this was very helpful and well explained.
i thought it was difficult but he makes it simple
I literally was suffering from this. thanks
you are always the biggest help when studying for exams
This video was actually really helpful
Great video! Thank you so much for making it. You're awesome.
Sir, you literally saved my life
you are goated and taking me through an entire unit. thank you
from anhui university... this lecture is really helpful during this rapand corona wave...................................................................................................
You explained it better than the teachers at the university
can you do a video revealing your face
Omg😂😂😂💀
HAHAHAHAH, but I'm good with this one
I understand why you're asking (curiosity), but really think for a moment - how would showing his face be beneficial to him at all? None of his videos are about him, they are about math. Also, why would it matter what his face looks like? It shouldn't matter what he looks like. To be honest, the only reason anyone would want to see him do a "face reveal" is due to curiosity. Let's be real here: that's not a good enough reason for him to do it. There just isn't a good case for it. It's pointless.
i came
SkillUp Gaming aw lawd
This guy teaches better than my professor, my professor should get fired
Super amizing good because of your vlog tutorial I got some knowledge from you
"decreasin' and increasin'"
LMAOOOOO i love how he repeats it
stop copying people's comments lmao
@@gigachad7030 wut? people can have the same reaction to something. It's not that deep. Plus it's something he says in the vid.
i learned more in 14 minutes than in my hour and 20 minute class.
learned how to do in literally 2 min of video, thx
Wait, this is so much easier than I thought
But in the last example, if we plug in f(2), we get y=16, so we do get a coordinate (2,16) and that could've been the relative maximum point if we used functions to do so. But theoretically we can see that it doesn't have a relative maximum point. How do we explain that with the functions method if we are asked to show our work?
I know you probably got it by now but commenting for future people, as far as I could understand it’s because it’s a double root so if you were to graph the derivative it’d look like a parabola shaping upwards. That point is a point of inflection rather than a critical point where the second derivative changes signs, changing the concavity of the function
Thank you for clear explaination :)
vro thank you so much you lterally save me from mental breakdowns
You're a hero
you are a great teacher sir
when he's doing your exact problem
@4:43 We find out this guy is human :-) In all seriousness, your videos are super helpful. Thanks!!
You are genius!!!
Thank you sir😭
he is awesome!! 😍
We pay thousands of dollars to a university to finally learn from youtube.
It's really a good explanation
You are an angel!
i love ur method sirrrr love u alot
I got same question in my online test. Thanks.
It's like you know my syllabus
lmaoo
I think I’m ready for tomorrow’s quiz now
The description is inaccurate: where you say "f the sign changes from - to +, it's a relative maximum." should be minimum instead of maximum; same goes for + to -, for a relative maximum.
Thank you bc I was confused!!
13:30 how would we determine which is the shape of the curve?
I'm currently thinking that it might be taking the 2nd derivative of a function and seeing how the shape of the function changes from that point. Would that be it or am I completely off?
Thank you! very helpful.
thanks a lot❤️
thank you my king
really helpfull
Thank you man. Really.
hocam tesekurler sayenizde calculus alla oldum
You are AMAZING
Nice sir I can understand
Thank you!
i love you man
Thanku sir ✨🙂
Nice video
thank you
Thanks a lot
Great video but what about trig fnc's?
very helpful
I LOVE YOU!
Thanks!
Gay
At the same time i am learning math and my ears are resting
i love you
Thx you so much
Thank u sir
Allah bless you & your family.
Is there a sample problem for maxima and minima for area?
Hello how do we find maxima and minima of trigonometric functions for example what is the minima and maxima of the following function y=sin(x³/3- x²/2-2x+1) this is really enormous problem to me
How would we write our answers if the given function is rational with asymptotes in its graph?
the second example is literally the hw question I was stuck on lmao
He plugged 1 and -1 for the last example, wouldn't they both be positive? as -1-3 = -4 and you square that which is positive cause he did the same for 1 when he did 1-3 = -2 but he then squared it which would make it positive.
for the f(x) 3x^4-16x^3+24x^2 I don't understand why the critical number couldn't just stay x=2 why do we have to solve for 12x=0 when we didn't in the other problems. I dont know if this is a stupid question I just think I might be over think it, can anyone help me?
f(×)=ײ-2×+1/×-2 find local extreme value and interval of monotoncity
when finding the y value, on the first one we used the f(x)' then substituted the x values......but why did we use f(x) on the second example instead of f(x)' again?
i have a question why did 6x^2 gcf is 6 while 12x^3 gcf is 12 with a variable x
MY HERO
Please reveal ur face...so that i could give you a super big hug if we ever meet by a chance💛
muy bueno friend
So fucking clear than my professor teach!!
If x=0, then f(x) =x³ will be ?
What about trigonometric functions?
On 4:00 how do you find the derivative of that number 2X^3
3*2x^2=6x^2
The power goes down then do a [ - 1] from the power so it will be (2) so it will be 3 × 2×*2 then it will be 6×*2
Good
Thnx sir
tnx
2:41 a happy winky face
Now I can't concentrate
Can you do it in reverse? Have 2 local max and min (eg 4, 8 and -1,-2)
I tried. x=4 x-4 x= -1 x+1
x(x-1)+4(x-1)
x^2 -3x -4
3(x^2) -(3)(3x) -3(4)
3x^2 -9x -12
6x -9
6(4) -9 is minimum (which shouldn't so...)
Or
-x = -4 -x +4 -x = 1 -x-1
-x(-x-1)+4(-x-1)
-x^2 +3x +4
-3(x^2) +9x +12
-x^3 +4.5x^2 +12x +- c
-4^3 + 4.5(4)^2 + 12(4) +- c = 9
-(-1)^3 + 4.5(-1)^2 + 12(-1) +- c = -2
C = 47
C = -4.5 WHAT DID I DO WRONG?
i wish i could help u but i've no idea
The multiplicity stuff is confusing
thanks :)
who came here for there modules thats damn hard