Relative Extrema, Local Maximum and Minimum, First Derivative Test, Critical Points- Calculus

  Рет қаралды 1,037,843

The Organic Chemistry Tutor

The Organic Chemistry Tutor

8 жыл бұрын

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-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 290
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 7 ай бұрын
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
@user-pw3xb6cg8d
@user-pw3xb6cg8d 9 ай бұрын
I'm pretty sure this dude is the only reason that I have any chance at graduating college. Thanks
@ghnjmcyg
@ghnjmcyg Ай бұрын
Same
@marcusvillacorta3499
@marcusvillacorta3499 4 жыл бұрын
Got a midterm in 10 minutes wish me luck
@IUsePCP
@IUsePCP 4 жыл бұрын
A midterm in November??
@LP-rm6ek
@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
@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
@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
@fer-curium1650 4 жыл бұрын
LP? Lmao
@ryandeen999
@ryandeen999 5 жыл бұрын
Keep up the lessons, you've made a significant difference in my marks. Thank you!
@shiro-om3ny
@shiro-om3ny 2 жыл бұрын
If you need to find out if it is a max or min, use this: f’’(x)>0 = min or f’’(x)
@user-nd2zu6tr3s
@user-nd2zu6tr3s 10 ай бұрын
This is much easier thanksss T-T
@99ish91
@99ish91 8 ай бұрын
I’m gonna try this out on my test which is in a couple hours. I trust you
@ts37924
@ts37924 8 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?
@trinitran4608
@trinitran4608 4 жыл бұрын
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
@poutinery
@poutinery 3 ай бұрын
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
@kiracook512
@kiracook512 2 жыл бұрын
I really enjoy watching your videos. They have helped me greatly in the last year or so of mathematics.
@lkdjlkjd
@lkdjlkjd 7 жыл бұрын
You sir, are a gentleman and a scholar. You make math so easy!
@Gina22553
@Gina22553 4 жыл бұрын
Thank you so much sir. You don't know how much you are helping me. You explain better than the book I have
@klaas4466
@klaas4466 3 жыл бұрын
You have saved me so many times, you are the best teacher I have ever had
@guitarttimman
@guitarttimman 5 жыл бұрын
You did a great job with your presentation. Thank you.
@izba4215
@izba4215 4 жыл бұрын
lets not skip any ads as a thank you hahaha
@Alexis-dq2mb
@Alexis-dq2mb 3 жыл бұрын
I wonder how much money he’s saved students from dropping their math classes
@vincec894
@vincec894 2 жыл бұрын
Watching this 20 minutes before my calc final. Thank you sir
@fernandjumamoy9927
@fernandjumamoy9927 5 жыл бұрын
Thank you very much, very helpful I really like the way you teach
@AceTrader_
@AceTrader_ 4 жыл бұрын
Bro... you r out of this world. Thanks!!!
@bruhnish598
@bruhnish598 9 ай бұрын
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.
@meghnaarora297
@meghnaarora297 7 жыл бұрын
awesome work , really helpful!😃
@sebastiancastaneda7418
@sebastiancastaneda7418 4 жыл бұрын
Thank you starting to feel more confident in BUS CALC
@zahraaa59676
@zahraaa59676 Жыл бұрын
amazing video. used some great tricks and hacks to get the answers and made everything clear.
@judyhopps1324
@judyhopps1324 2 жыл бұрын
there is a mistake at 10:31. (x-1)^2 has even multiplicity, the sign should be + in the number line
@hawamusah-opata9799
@hawamusah-opata9799 2 жыл бұрын
that's true cuz i got confused over there
@kk7420
@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
@hustlefaith Жыл бұрын
I was looking for this comment. Yes I got confused too. I watched it over and over again.
@deactivated9940
@deactivated9940 2 ай бұрын
you are better than 90% of professors, bless your soul i love you
@alexandricknisi8764
@alexandricknisi8764 5 жыл бұрын
I love your videos, very helpful to me.
@renan6827
@renan6827 5 жыл бұрын
Thank you. I was struggling to understand this . After watching your video I feel much better.
@princeequalizer3715
@princeequalizer3715 4 жыл бұрын
were you sick?
@arki3134
@arki3134 3 жыл бұрын
@@princeequalizer3715 lmao
@nana-wn5th
@nana-wn5th 4 жыл бұрын
i swear I'd give you my lungs you're a lifesaver
@Solomart
@Solomart Жыл бұрын
Thanks for this video. You make maths very easy !
@19magallon97
@19magallon97 6 жыл бұрын
I'm convinced that Mark Wahlberg is on the other end of the mic
@ItsIsaan
@ItsIsaan 4 жыл бұрын
@baldy hardnut A little bit deeper but not much
@ItsIsaan
@ItsIsaan 4 жыл бұрын
@baldy hardnut Cant wait :)
@LP-rm6ek
@LP-rm6ek 4 жыл бұрын
reminds me of the Mark Wahlberg Talks to Animals skit on SNL.
@0s0sXD
@0s0sXD 3 жыл бұрын
Omg. So well explained. Thanks dude Love it!
@matheshvarma1893
@matheshvarma1893 10 ай бұрын
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
@mr.nobody8958
@mr.nobody8958 6 жыл бұрын
thanks man your channel is the best !
@prevara5162
@prevara5162 Жыл бұрын
idk why or how but this taught me on 5 minutes what I could not figure out from the textbook in over an hour
@latiftyber4538
@latiftyber4538 3 жыл бұрын
I feel like I owe you my tuition for the great support towards my degree😭
@slikchicken5113
@slikchicken5113 Ай бұрын
Final Exam in 6 hours. This man is saving my life.
@yaaasiamah
@yaaasiamah Жыл бұрын
Thanks man. You've been a great help.
@mrw5258
@mrw5258 3 жыл бұрын
Thank you . It is amazing for both learning and revising!!!!
@vishugaur6178
@vishugaur6178 3 жыл бұрын
After 5 years this video is still so relevant wow great job
@natefergeson2390
@natefergeson2390 2 жыл бұрын
yea... the rules of math and calculus don't change much do they...
@w花b
@w花b 2 жыл бұрын
@@natefergeson2390 true lmao
@PeterGriffin-ic3kw
@PeterGriffin-ic3kw Жыл бұрын
what did you expect
@basilkhan1998
@basilkhan1998 5 жыл бұрын
Sir. MAY GOD BLESS U. U helped so many
@sirolemayo
@sirolemayo 5 жыл бұрын
and God bless you for blessing him!
@vfxentity
@vfxentity 7 ай бұрын
20 pages of material in 12 minutes..thank you sir
@trip4doyle
@trip4doyle 3 ай бұрын
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
@Succer 3 ай бұрын
Hold up I gotta lock in too
@kamenzhelyazkov8575
@kamenzhelyazkov8575 2 жыл бұрын
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
@jiejie0600
@jiejie0600 3 жыл бұрын
We're having midterm exam today so i need to rewatch it again while answering my exam😊😊
@rohn.exists
@rohn.exists 2 жыл бұрын
bruh
@LoneWolf-wq1nq
@LoneWolf-wq1nq 10 ай бұрын
how did it go
@aa101573
@aa101573 Жыл бұрын
I’m from Taiwan and I think this video is more useful to me than all the other Chinese calculus video
@corybrewer8286
@corybrewer8286 Жыл бұрын
woooo The Organic Chem Tutor is the best
@LanoMusambazi-sr6mx
@LanoMusambazi-sr6mx Ай бұрын
Thank you sir. I appreciate the knowledge.
@glitchy3908
@glitchy3908 Жыл бұрын
this man is a savior, thank you
@zainislam554
@zainislam554 3 жыл бұрын
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?
@Blueian742
@Blueian742 2 ай бұрын
This stuff seems complicated at first but after a bit of studying and plenty of practice fits together elegantly.
@thehope1797
@thehope1797 2 жыл бұрын
Your explanation is great
@nurafiqahazli879
@nurafiqahazli879 2 жыл бұрын
I want to ask, at 7.00 where did the number 6 go? on the question after the factor.
@mahirmahmood7777
@mahirmahmood7777 4 жыл бұрын
i big love to you way of explaining
@lamarkhayat18
@lamarkhayat18 6 ай бұрын
The way he says increasing and decreasing is satisfying for some reason lol
@stevejohargy1224
@stevejohargy1224 5 жыл бұрын
Best guy in the world
@muhammadhammad268
@muhammadhammad268 3 жыл бұрын
outclass would be a very small word for you. Fabulous
@merc6380
@merc6380 5 жыл бұрын
MVP I like this guy
@jeanettequintero2313
@jeanettequintero2313 5 жыл бұрын
Feel free to pause the video
@mrw5258
@mrw5258 3 жыл бұрын
Your name sucks I'm sorry 😐
@ts37924
@ts37924 8 ай бұрын
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?
@irisgomez9684
@irisgomez9684 5 жыл бұрын
You are a GENIUS
@dashkaalceus6217
@dashkaalceus6217 6 жыл бұрын
At 3:49 when finding the Derivative. Did you factor out the 2 to find the dy/dx?
@gianny2977
@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)
@golamrabbi5560
@golamrabbi5560 4 жыл бұрын
bhaaai apne sheraa
@srithummalapalli3333
@srithummalapalli3333 2 жыл бұрын
great work!
@laurenadams6856
@laurenadams6856 Жыл бұрын
Got 2 finals today, pray for me. 💜
@kevingotbanned1
@kevingotbanned1 Жыл бұрын
Good luck lol mine on Friday
@foca7550
@foca7550 Жыл бұрын
Have a Calc test tomorrow
@21Screen
@21Screen Жыл бұрын
@@foca7550 Same but mine's tomorrow. A day after yours. How'd it go ?
@foca7550
@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
@Minerva578 Жыл бұрын
@@foca7550 how was it
@somaa3291
@somaa3291 5 жыл бұрын
You are the best ♥️♥️♥️♥️
@sinewedbastion
@sinewedbastion 5 жыл бұрын
helped me a lot before my final
@SamyThiam
@SamyThiam 2 жыл бұрын
thank you for your help!
@user-li8if6pd9x
@user-li8if6pd9x 2 жыл бұрын
Wish me luck y’all got my final in 2 hours
@dominicheywood2286
@dominicheywood2286 4 жыл бұрын
Could u try 2x^3 + x^2 - 3x +10
@jessicamaduka537
@jessicamaduka537 4 жыл бұрын
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
@Ethiopian-Education Жыл бұрын
What grade are you?
@killiansgame5534
@killiansgame5534 3 жыл бұрын
just looked at your channel (have been using ur calc vids all year)... how do you know everything. serious question lol
@Dean.AlAmriki
@Dean.AlAmriki 2 жыл бұрын
Thank you so much!!
@toxic_rosse6434
@toxic_rosse6434 3 жыл бұрын
Is it a start up point or settle point?
@zef1o338
@zef1o338 4 ай бұрын
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
@michaeljorban9872
@michaeljorban9872 9 ай бұрын
Ur such a beauty for these videos
@kingsleeaeronyu9562
@kingsleeaeronyu9562 4 жыл бұрын
Thank you organic chemistry
@gouravawasthi8920
@gouravawasthi8920 4 жыл бұрын
thanks sir nice explain
@amooraalkaabi2171
@amooraalkaabi2171 2 жыл бұрын
Got a final in two days wish me luck I’m so stressed
@tonitavake3307
@tonitavake3307 2 жыл бұрын
could you pls upload more content on this topic pls and that you! :)
@whisperoftheheart1603
@whisperoftheheart1603 Жыл бұрын
Can someone help me solve relative max/min for f(x) =3x⁴-4x³..?
@BenShMotoJIE
@BenShMotoJIE 3 жыл бұрын
Very helpful 😇
@iernekyne4191
@iernekyne4191 2 жыл бұрын
You said X +2 to the power of one is a negative number so the sign changes but then you left the sign is a plus and I’m really confused
@nouhamourad7507
@nouhamourad7507 2 жыл бұрын
THANK YOU!
@nafisibnmahabub6125
@nafisibnmahabub6125 2 ай бұрын
Got my Semester final in 4 hrs. Wish me luck guys.
@ZipperPlayZ
@ZipperPlayZ 3 ай бұрын
Thank you !
@theonlyonewithwings_2297
@theonlyonewithwings_2297 4 жыл бұрын
thank you so much
@user-wi5td7xi3c
@user-wi5td7xi3c 4 ай бұрын
Thank you!!
@sweDtwks
@sweDtwks Жыл бұрын
Mid-sem exams in 12 hours. Thank you🥲❤️❤️
@shr1mpy194
@shr1mpy194 3 жыл бұрын
A- on calc finals thanks to you
@Kejsi777
@Kejsi777 5 ай бұрын
What does this even meeeaaaann
@Riad-Eleid
@Riad-Eleid Жыл бұрын
Thank you
@fuego786
@fuego786 4 жыл бұрын
i love your vids, but dang why so low on volume, i up mine, then when i watch another video i get spooked.
@dulendamsana5185
@dulendamsana5185 Жыл бұрын
Thankyou soo much this helps me a lot>
@blackgoat7863
@blackgoat7863 2 ай бұрын
Simply the best
@claytondailey9322
@claytondailey9322 Жыл бұрын
thank you
@buttercroissant1278
@buttercroissant1278 2 жыл бұрын
THANKU SO MUCH
@mahmoudabdrabo6232
@mahmoudabdrabo6232 4 жыл бұрын
many thx
@evan2726
@evan2726 2 жыл бұрын
you are my hero
@jescee8018
@jescee8018 5 ай бұрын
thanks so muchhh!!
@linnmyataung6433
@linnmyataung6433 8 ай бұрын
Thanks you a milli
@mauriciominoboyes9625
@mauriciominoboyes9625 7 жыл бұрын
at min. 10:31 for (x-1)^2 = 0 then (x=1)^2 so is + not -, correct?
@legoreview8228
@legoreview8228 6 жыл бұрын
Mauricio Miño Boyes I
@ralphlaurencemina6179
@ralphlaurencemina6179 4 жыл бұрын
Yup I think you're right
@benjaminfranklin6249
@benjaminfranklin6249 2 жыл бұрын
Been sick for two weeks straight and teacher cutting me no slack. Got a test at 8:30 sharp wish me luck gang
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