Relative Extrema, Local Maximum and Minimum, First Derivative Test, Critical Points- Calculus
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 ...
_______________________________________
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Пікірлер: 286
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Got a midterm in 10 minutes wish me luck
@IUsePCP
4 жыл бұрын
A midterm in November??
@LP-rm6ek
4 жыл бұрын
@@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.
@denverdean2663
4 жыл бұрын
How'd it go? I am going to have my finals tomorrow and I have no idea what this is all about
@LP-rm6ek
4 жыл бұрын
@@denverdean2663 well, I don't know about him but I had just had a midterm and it went horrible... like really really really bad.
@fer-curium1650
4 жыл бұрын
LP? Lmao
I'm pretty sure this dude is the only reason that I have any chance at graduating college. Thanks
@ghnjmcyg
12 күн бұрын
Same
Keep up the lessons, you've made a significant difference in my marks. Thank you!
Thank you so much, I understand what my calc teacher is talkin about finally! I wish I could give you a big hug, I feel so much better after watchin this
I really enjoy watching your videos. They have helped me greatly in the last year or so of mathematics.
If you need to find out if it is a max or min, use this: f’’(x)>0 = min or f’’(x)
@user-nd2zu6tr3s
9 ай бұрын
This is much easier thanksss T-T
@99ish91
7 ай бұрын
I’m gonna try this out on my test which is in a couple hours. I trust you
@ts37924
6 ай бұрын
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?
You sir, are a gentleman and a scholar. You make math so easy!
Thank you so much sir. You don't know how much you are helping me. You explain better than the book I have
You have saved me so many times, you are the best teacher I have ever had
lets not skip any ads as a thank you hahaha
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
You did a great job with your presentation. Thank you.
I wonder how much money he’s saved students from dropping their math classes
Watching this 20 minutes before my calc final. Thank you sir
Bro... you r out of this world. Thanks!!!
Thank you starting to feel more confident in BUS CALC
you are better than 90% of professors, bless your soul i love you
awesome work , really helpful!😃
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.
amazing video. used some great tricks and hacks to get the answers and made everything clear.
Thank you very much, very helpful I really like the way you teach
bro i got 53 percentage in my 12th grade cause i dont like math but i hear about your channel and i started to love maths and i got 99 percentages accross my 3 semesters love you bro
Thank you. I was struggling to understand this . After watching your video I feel much better.
@princeequalizer3715
4 жыл бұрын
were you sick?
@arki3134
3 жыл бұрын
@@princeequalizer3715 lmao
I love your videos, very helpful to me.
I'm convinced that Mark Wahlberg is on the other end of the mic
@ItsIsaan
4 жыл бұрын
@baldy hardnut A little bit deeper but not much
@ItsIsaan
4 жыл бұрын
@baldy hardnut Cant wait :)
@LP-rm6ek
4 жыл бұрын
reminds me of the Mark Wahlberg Talks to Animals skit on SNL.
thanks man your channel is the best !
Thanks for this video. You make maths very easy !
Omg. So well explained. Thanks dude Love it!
20 pages of material in 12 minutes..thank you sir
Sir. MAY GOD BLESS U. U helped so many
@sirolemayo
5 жыл бұрын
and God bless you for blessing him!
Thanks man. You've been a great help.
Your explanation is great
idk why or how but this taught me on 5 minutes what I could not figure out from the textbook in over an hour
After 5 years this video is still so relevant wow great job
@natefergeson2390
2 жыл бұрын
yea... the rules of math and calculus don't change much do they...
@whannabi
2 жыл бұрын
@@natefergeson2390 true lmao
@PeterGriffin-ic3kw
Жыл бұрын
what did you expect
I’m from Taiwan and I think this video is more useful to me than all the other Chinese calculus video
i swear I'd give you my lungs you're a lifesaver
Thank you . It is amazing for both learning and revising!!!!
I feel like I owe you my tuition for the great support towards my degree😭
this man is a savior, thank you
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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
This stuff seems complicated at first but after a bit of studying and plenty of practice fits together elegantly.
outclass would be a very small word for you. Fabulous
thank you for your help!
Feel free to pause the video
@mrw5258
3 жыл бұрын
Your name sucks I'm sorry 😐
Ur such a beauty for these videos
Thank you so much!!
helped me a lot before my final
We're having midterm exam today so i need to rewatch it again while answering my exam😊😊
@rohn.exists
Жыл бұрын
bruh
@LoneWolf-wq1nq
9 ай бұрын
how did it go
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.
@Succer
Ай бұрын
Hold up I gotta lock in too
Got 2 finals today, pray for me. 💜
@kevingotbanned1
Жыл бұрын
Good luck lol mine on Friday
@foca7550
Жыл бұрын
Have a Calc test tomorrow
@21Screen
Жыл бұрын
@@foca7550 Same but mine's tomorrow. A day after yours. How'd it go ?
@foca7550
Жыл бұрын
@@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!
@Minerva578
Жыл бұрын
@@foca7550 how was it
woooo The Organic Chem Tutor is the best
thanks sir nice explain
Very helpful 😇
there is a mistake at 10:31. (x-1)^2 has even multiplicity, the sign should be + in the number line
@hawamusah-opata9799
2 жыл бұрын
that's true cuz i got confused over there
@kk7420
2 жыл бұрын
@@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.
@hustlefaith
Жыл бұрын
I was looking for this comment. Yes I got confused too. I watched it over and over again.
Simply the best
Thank you
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Thankyou soo much this helps me a lot>
Thank you !
THANK YOU!
thank you
just looked at your channel (have been using ur calc vids all year)... how do you know everything. serious question lol
Thank you!!
Mid-sem exams in 12 hours. Thank you🥲❤️❤️
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?
A- on calc finals thanks to you
Thanks you a milli
THANKU SO MUCH
omg you are a wizard!
@dittemarie1603
4 жыл бұрын
Harry
I want to ask, at 7.00 where did the number 6 go? on the question after the factor.
thanks so muchhh!!
you are my hero
could you pls upload more content on this topic pls and that you! :)
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?
many thx
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
Got my Semester final in 4 hrs. Wish me luck guys.
At 3:49 when finding the Derivative. Did you factor out the 2 to find the dy/dx?
@gianny2977
6 жыл бұрын
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)
The way he says increasing and decreasing is satisfying for some reason lol
thank u😄
Wish me luck y’all got my final in 2 hours
Been sick for two weeks straight and teacher cutting me no slack. Got a test at 8:30 sharp wish me luck gang
epic! thank you
wow just wow!
I will pass this class.
Increasin and decreasin
Is it a start up point or settle point?
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.
@Ethiopian-Education
Жыл бұрын
What grade are you?
My exam is today wish me luck x
Got a final in two days wish me luck I’m so stressed
Could u try 2x^3 + x^2 - 3x +10