Relative Extrema, Local Maximum and Minimum, First Derivative Test, Critical Points- Calculus
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- เผยแพร่เมื่อ 5 ก.ย. 2024
- This calculus video tutorial explains how to find the relative extrema of a function such as the local maximum and minimum values using the first derivative test.
Introduction to Limits: • Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
_____________________________
Extreme Value Theorem:
• Extreme Value Theorem
Finding Critical Numbers:
• Finding Critical Numbers
Local Maximum & Minimum:
• Finding Local Maximum ...
Absolute Extrema:
• Finding Absolute Maxim...
Rolle's Theorem:
• Rolle's Theorem
________________________________
Mean Value Theorem:
• Mean Value Theorem
Increasing and Decreasing Functions:
• Increasing and Decreas...
First Derivative Test:
• First Derivative Test
Concavity & Inflection Points:
• Concavity, Inflection ...
Second Derivative Test:
• Second Derivative Test
_________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
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Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
I'm pretty sure this dude is the only reason that I have any chance at graduating college. Thanks
Same
Got a midterm in 10 minutes wish me luck
A midterm in November??
@@IUsePCP in some classes, any test is called a midterm... so if there are like 5 tests throughout the semester, each one is called a midterm even though it's not the middle of the term.
How'd it go? I am going to have my finals tomorrow and I have no idea what this is all about
@@denverdean2663 well, I don't know about him but I had just had a midterm and it went horrible... like really really really bad.
LP? Lmao
It's crazy how my professor spent 2 hrs and 15 minutes explaining this with a 15 page long worksheet and I didn't understand jack. You literally taught it in 12 minutes, I love you
Keep up the lessons, you've made a significant difference in my marks. Thank you!
If you need to find out if it is a max or min, use this: f’’(x)>0 = min or f’’(x)
This is much easier thanksss T-T
I’m gonna try this out on my test which is in a couple hours. I trust you
if we get a f"(x) = 0 is there still a possibility for x be to be a maxima or a minima if f'(x)=0
is the change in slope (i.e the second derevitive) of a * maxima * or a * minima * must always be * negetive dec. * or
* positive inc. * respectively or can it be * zero * at any of them aswell?
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locking in for my last 2 calc 1 tests, wish me luck. I will be back in may to let you guys know if i passed or failed the course.
Hold up I gotta lock in too
so brother , passed or failed ???
I really enjoy watching your videos. They have helped me greatly in the last year or so of mathematics.
Thank you so much sir. You don't know how much you are helping me. You explain better than the book I have
lets not skip any ads as a thank you hahaha
Watching this 20 minutes before my calc final. Thank you sir
After 5 years this video is still so relevant wow great job
yea... the rules of math and calculus don't change much do they...
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Thank you. I was struggling to understand this . After watching your video I feel much better.
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@@princeequalizer3715 lmao
there is a mistake at 10:31. (x-1)^2 has even multiplicity, the sign should be + in the number line
that's true cuz i got confused over there
@@hawamusah-opata9799 wouldn't it be "-"? If the power is even, the sign stays the same(like he mentioned in the video). When x is greater then 2, it's negative. Therefore when x is lesser than 2, it's still negative.
I was looking for this comment. Yes I got confused too. I watched it over and over again.
I wonder how much money he’s saved students from dropping their math classes
Bro... you r out of this world. Thanks!!!
9:40 the easiest thing to do is plug in 0. that way, you can cross out all the 'x's and focus only on the signs of the constants. in this case, you have 3 negatives, so you'll get a negative answer after plugging in 0. so the sign between -2 and 1 is '-'. now you can use the multiplicity trick.
idk why or how but this taught me on 5 minutes what I could not figure out from the textbook in over an hour
You did a great job with your presentation. Thank you.
We're having midterm exam today so i need to rewatch it again while answering my exam😊😊
bruh
how did it go
I'm convinced that Mark Wahlberg is on the other end of the mic
@baldy hardnut A little bit deeper but not much
@baldy hardnut Cant wait :)
reminds me of the Mark Wahlberg Talks to Animals skit on SNL.
20 pages of material in 12 minutes..thank you sir
Sir. MAY GOD BLESS U. U helped so many
and God bless you for blessing him!
Got 2 finals today, pray for me. 💜
Good luck lol mine on Friday
Have a Calc test tomorrow
@@foca7550 Same but mine's tomorrow. A day after yours. How'd it go ?
@@21Screen Pretty poorly. I'm in uni and my gf collapsed with severe chest pains the morning of the test. Had to call an ambulance. Was just worried about her the whole time I was taking the test. Good luck on yours though!
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I’m from Taiwan and I think this video is more useful to me than all the other Chinese calculus video
Thank you starting to feel more confident in BUS CALC
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This stuff seems complicated at first but after a bit of studying and plenty of practice fits together elegantly.
1:06 here lies the issue with my highschool teacher ;D,
they explain very well everything graphically with simple functions, and the calculations are easy, then we go to functions with critical points that are not extremas, and not defined functions and all that sht and they are like, ey analogically from what we've discussed, like i can imagine graphs as easy as a person who worked this field for 40 years;
it is way easier to remember when you study from raw methods, you cant force intiution in student's brain, it is something that develops over time
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Feel free to pause the video
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Wish me luck y’all got my final in 2 hours
Thank you sir. I appreciate the knowledge.
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amazing video. used some great tricks and hacks to get the answers and made everything clear.
I want to ask, at 7.00 where did the number 6 go? on the question after the factor.
Increasin and decreasin
Got a final in two days wish me luck I’m so stressed
The way he says increasing and decreasing is satisfying for some reason lol
Take note that another way to find whether the point is a maximum or minimum is taking the second derivative and plugging the x value. If the result is x>0 then it is a minimum and if x
Mid-sem exams in 12 hours. Thank you🥲❤️❤️
Got a final term in 30 minutes and I don't have any idea what this is🥲 wish me luck
How was it?
He might have failed and gave up. That's why no reply.@@Tayspeaksfacts
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Got my Semester final in 4 hrs. Wish me luck guys.
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Harry
Thank you . It is amazing for both learning and revising!!!!
Can you find the max and min values of a function with an imaginary critical value? I'm trying to solve a homework problrm but the critical value is the square root of -1 and I'm stuck.
What grade are you?
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I rlly don't understand the last one
I have my final the day after tommorow
Good lucj
Hamza Riaz T did you just say “good luck” to yourself lol?
Hamza Riaz T also nice we have the same first name
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Hi shouldn’t the value be positive at 1, (x-1)^2 12:00 ???
yea i was wondering that too, did you ever find out?
no its +1 not -1 on the line
Same concern
At 3:49 when finding the Derivative. Did you factor out the 2 to find the dy/dx?
he factored it just to simplify and make it easier to solve for x and find the critical point. you should always simplify as much as you can (unless its a super complicated problem and it'll just take you back to the original answer)
Thank you
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My exam is today wish me luck x
thanks sir nice explain
will the critical values be substituted in real function or the marginal function? . If we have only one critical value so are we going to substitute the two extreme values located to the left and side of the critical value? eg if we have the critical value of 4 , the two extreme values located near 4 are 3 and 5 , are we going to substitute these values?
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Thank you !
I am grateful to your works, sir. However, if I will suggest one thing, it is about making your presentation more organize. Sometimes, it is confusing when some numbers/values/letters are everywhere. I am looking forward for the improvement of your visuals. Thank you, sir!
This was 6 years ago..... Yes it was un organize bur he definitely improved as years went by..
I got a calc final in the morning wish me luck
at min. 10:31 for (x-1)^2 = 0 then (x=1)^2 so is + not -, correct?
Mauricio Miño Boyes I
Yup I think you're right
Plug in a number
thank you for your help!
THANK YOU!