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Sketching Derivatives From Parent Functions - f f' f'' Graphs - f(x), Calculus 

The Organic Chemistry Tutor
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This calculus video tutorial explains how to sketch the derivatives of the parent function using the graph f(x). This video contains plenty of examples and practice problems.
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Here is a list of topics:
1. Sketching Derivatives of Parent Functions
2. Quadratic Function / Parabola f(x) = x^2
3. Linear Functions 2x
4. Cubic Functions x^3
5. Trigonometric Functions - Sine and Cosine - sin(x) and cos(x)
6. Increasing and Decreasing Functions
7. Relative Extrema of a Function and the Derivative f'
8. Graphing The First and Second Derivative of a Function
9. Local Maximum and Minimum Calculus
10. Critical Points and Inflection Points
11. Relative Maximum and Minimium of Using the First Derivative Graph
12. Critical Points and Extrema - Calculus
13. Concavity, Inflection Points on Graph of f'(x) - First Derivative
14. Identifying the Horizontal Tangent Lines
Disclaimer: Some of the links associated with this video may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.

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23 авг 2024

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Комментарии : 228   
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 7 месяцев назад
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
@danialsharifi3513
@danialsharifi3513 2 года назад
it's funny how we pay so much money to school to learn nothing and this man here is teaching us everything for free. thank you for your awesome videos.
@DaiMoscv
@DaiMoscv 2 года назад
And they always overcomplicate things
@mrymmiraslanl7334
@mrymmiraslanl7334 Год назад
@@DaiMoscv exactly
@ninjapirate123
@ninjapirate123 Год назад
yeah same and at school everytime I ask the teacher how to do a question, they just came up to me and say "How do you think you'll do" and then walks away
@eterrestrial9527
@eterrestrial9527 Год назад
we only pay for the degree and “resources” that colleges give not even proper education anymore
@vieamusante5836
@vieamusante5836 5 лет назад
great explanation, my teacher neglected to teach us this but still gave homework on it
@mryup6100
@mryup6100 4 года назад
Really?? Bad teacher
@nyiarkarmin540
@nyiarkarmin540 4 года назад
Same
@LastGenRichtofenn
@LastGenRichtofenn 4 года назад
This comment makes so much more sense in 2020
@adzzino
@adzzino 3 года назад
Sasuke with a broken neck ur name still doesn’t make sense
@mr.famous8544
@mr.famous8544 3 года назад
Same bro!
@lohitsharma92
@lohitsharma92 5 лет назад
whenever I hear your voice, my stress goes away for some reason lol #lifesaver
@osos3867
@osos3867 5 лет назад
He's the real mvp
@Grr-nz7zj
@Grr-nz7zj 4 года назад
I know right?
@YLprime
@YLprime 4 года назад
idk, this guy isn't the best teacher, but I did learn almost everything from him
@quantumcrash7266
@quantumcrash7266 4 года назад
Yes I just had that same experience!
@Ahmed202.
@Ahmed202. 3 года назад
@@YLprime thats contradictory
@bruvlord1133
@bruvlord1133 4 года назад
This dude deserves the Nobel Awards
@kevinkim2405
@kevinkim2405 2 года назад
Nobel education prize
@liv-ku2rl
@liv-ku2rl 2 года назад
fr
@heyysan9860
@heyysan9860 2 года назад
I have learned more in 30 mins than my professor explaining for 3 hrs. Thank you sir god bless you!
@ninjapirate123
@ninjapirate123 Год назад
yeah same and at school everytime I ask the teacher how to do a question, they just came up to me and say "How do you think you'll do" and then walks away, this is why school teachers are really bad at teaching
@kingklaus2115
@kingklaus2115 Год назад
@@ninjapirate123 Why are you copy pasting your comment? Are you a bot?
@ninjapirate123
@ninjapirate123 Год назад
@@kingklaus2115 Just to let people know why the school system and the teachers there are terrible
@kingklaus2115
@kingklaus2115 Год назад
@@ninjapirate123 Oh alright I wasn’t sure. Yeah there are some pretty bad teachers out there. I think the main problem comes down to how funding works. Schools should not be funded based on property taxes since it is impossible for students to grow out of low income areas with the low grade schools they have supplied. It creates an endless cycle of people going to public schools, failing out, and moving into dead end jobs where they start families and have kids that go right through the same process. Countries should spend less on defense and more on infrastructure, otherwise we are all going to suffer in the long run.
@ninjapirate123
@ninjapirate123 Год назад
@@kingklaus2115 In my country, going to school is free for everyone, the government pays money for students to go to school. It's only teachers that doesn't teach so well
@abdulnazary1501
@abdulnazary1501 7 лет назад
You are the MAN! Ever since I started to watch your videos for calc and for physics my grades in both those classes have started to go up.
@chinonsoogudu6363
@chinonsoogudu6363 2 года назад
Honestly God is using him to help us. It's God that's using boosting all our grades. Thank you Jesus!!!
@highscore4795
@highscore4795 2 года назад
@@chinonsoogudu6363 amen 🙏🏼
@Jorge-125
@Jorge-125 2 года назад
@@chinonsoogudu6363 organic chem guy's name is Jesus/God? Hmmm I didn't know🤔
@dayannyleiva3196
@dayannyleiva3196 2 года назад
@@Jorge-125 he said used him… not that he is lol
@kdubyzu
@kdubyzu 6 лет назад
Best explanation I’ve seen hands down!!! Wasted days trying to understand this reading the textbook
@hubutnotsotao5362
@hubutnotsotao5362 3 года назад
Funny how the school system is so ineffective at making barely any talent grow, yet ALOT of people just take grades as if it was all your worth listed in a piece of paper. Good thing it isn't all people if so then society would take a bad direction. This channel is very good.
@AstroxJair
@AstroxJair 4 года назад
You will be the reason why , I will pass my Cal course this semester, we will meet again. I know we will. lol
@BigDaddyWitABaddie
@BigDaddyWitABaddie 3 года назад
Jair Manquero did you pass and was it college calc or just hs calc
@adrianstickling8367
@adrianstickling8367 Год назад
This guy rightfully gets a lot of positive comments. I was stuck on what derivates actually mean and his explanation of how the y-values of the derivate is the slope of the original function at every x-value explains everything. I'm very happy to know I get it now.
@sarahashworth9321
@sarahashworth9321 Год назад
If only I'd used your videos to teach myself these things sooner I wouldn't have failed calculus my first try! With your help I finally understand these concepts (and you make them seem simple) and I will hopefully pass this time around thanks to your help. Thank you!
@yikushieda
@yikushieda 4 года назад
dude you save my life everytime i start to lose it. i need to buy your merch bro, i feel like i need to pay you for your help somehow beyond ads.
@zitojones
@zitojones 7 лет назад
Not all heroes wear capes!!!
@carlosruiz2411
@carlosruiz2411 6 лет назад
Yunus Alao for real
@BrownCookieBoy
@BrownCookieBoy 5 лет назад
Who knows, he might be sitting there wearing a cape
@nocturno5373
@nocturno5373 4 года назад
They use a stylus and a screen and audio recorder
@ryanm6004
@ryanm6004 3 года назад
ScoutiverTTV he deserves one
@axtas
@axtas 2 года назад
Error: At 23:18, you list the Concave Down point as (-1,1) when it should be (-1,2)
@worthplayingfor2197
@worthplayingfor2197 2 года назад
i noticed that too
@saadfallah1237
@saadfallah1237 7 лет назад
Thanks so much! You're a legend. I follow along with your problems, pausing to try them myself!
@_xntrk
@_xntrk 4 года назад
Your vids are very comprehensive for beginners like me. Thank you very much for making them.
@awethagos2172
@awethagos2172 Год назад
I'm actually not bad in Math but this topics was complete new to me and thank you now that I mastered it 🙏🏾
@khonkhaalleysenokonyane8781
@khonkhaalleysenokonyane8781 5 лет назад
Lifesaver, I can't believe I went to class all for nothing
@Alanamastreete
@Alanamastreete 7 лет назад
Graph 8. CD on (-4,-3) U (-1,2)
@Quiyum
@Quiyum 4 года назад
turtleturtle927's broadcasts yes exactly what I was thinkinh
@Chrisymcmb
@Chrisymcmb 3 года назад
Also graph 8, CU on (-3,-1) U (2,infinity)
@mollyhynes2542
@mollyhynes2542 6 лет назад
I have test on everything in this video tomorrow in my calc class and I was completely lost before watching this video. Now that I've watched this and taken notes I understand everything very well and feel prepared for mt test that As of half a hour ago I thought I was going to fail. Thank you so much!!
@laurensalino
@laurensalino 5 месяцев назад
You save lives God bless u
@azou3525
@azou3525 6 лет назад
Great explanation ! Straight to the point, clear and simple.
@khalidquadmill3339
@khalidquadmill3339 3 года назад
ur voice is soothing and reduces my school anxiety....not the typical"College lecturer voice" but perfect.
@h.e6604
@h.e6604 5 лет назад
thank you!! i was so confused with tangent lines lol. didnt know it was that simple
@theend-ej1rx
@theend-ej1rx 7 месяцев назад
Thank you so much you are the reason I am getting good grades ❤❤
@MunisaR
@MunisaR 5 лет назад
Im so dumb in graphing and still being dumb. Why im not getting it? Why those lines move up and down😭😭😭😭 hate graphs
@sanyabhasin3694
@sanyabhasin3694 5 лет назад
idk...but i love graphs❤
@lillian5353
@lillian5353 4 года назад
I hate these things. I'll get all the hard equations right but then I'll graph the thing wrong like with. Graphs are stupid
@tazmeenzargar
@tazmeenzargar 3 года назад
Put different values of x in the equation {Say, for example, f(x)=x^2}, note down the corresponding values for f(x). Mark these values of x and their corresponding values for f(x) on the co-ordinate axis. P.S: Take f(x) as your vertical axis and x as the horizontal axis.
@maryamalhinai9966
@maryamalhinai9966 2 года назад
Your beautiful
@alejandrogarcia5688
@alejandrogarcia5688 3 года назад
This video allowed this girl in my class to score half a point better than me on my derivatives quiz... I hate it here
@kingklaus2115
@kingklaus2115 Год назад
L
@imperiusss
@imperiusss 7 лет назад
Great stuff.It would be nice to also do probability and statistics lectures with you style of teaching :) thanks
@marcosadrian20
@marcosadrian20 9 месяцев назад
I’m still lost
@Theclippingkon
@Theclippingkon 2 месяца назад
How did you figure it out?
@tinuolaa0028
@tinuolaa0028 5 лет назад
Thank you, thank you , thank you so much. I literally watch you for everything. You. Are. A. Life. Saver.
@ompatel9872
@ompatel9872 6 лет назад
You are a life savior dude!
@KhawOfficial
@KhawOfficial 4 года назад
i love you. I have a test tomorrow
@marypilli1339
@marypilli1339 4 года назад
Really helped a lot for my calculus exam. Thank you. Your explanation is awesome
@elly1976
@elly1976 5 месяцев назад
Thank you so much for covering various question types.
@evan2726
@evan2726 2 года назад
you literally saved my life
@Alicia23d
@Alicia23d 7 лет назад
This really helped, thanks heaps :)
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 7 лет назад
No problem
@Interstice42
@Interstice42 Год назад
You are my hero
@FF-js8dv
@FF-js8dv 6 месяцев назад
Yooo great explenation you saved me with this video.😀😀😀
@SakeKaama
@SakeKaama 6 лет назад
Thank you for your videos! You are changing lives for students!
@ninjapirate123
@ninjapirate123 Год назад
yeah same and at school everytime I ask the teacher how to do a question, they just came up to me and say "How do you think you'll do" and then walks away, this is why school teachers are really bad at teaching
@EM-qi8ez
@EM-qi8ez 2 месяца назад
I love how in all the RU-vid math videos someone is complaining about their teacher 😂
@Bro_chill_bro-
@Bro_chill_bro- Год назад
This guy saves lives
@bluepio4491
@bluepio4491 3 года назад
Thank you for make this video~! I finally understand how to draw derivative graph~!!!
@michelleaura3705
@michelleaura3705 4 года назад
i love you more than my math teacher sjsisjsksjkwke
@Democracy_Manifest
@Democracy_Manifest Год назад
You are a great teacher. Thank you
@bryce8793
@bryce8793 5 лет назад
absolute legend :)
@DragonRazor9283
@DragonRazor9283 4 года назад
Bryce Hi Ellie
@minhthinguyen6241
@minhthinguyen6241 3 года назад
I love you, my great teacher 😿💝
@minhthinguyen6241
@minhthinguyen6241 3 года назад
Yes I got 3 full marked quizzes in a row😶 it's all bc of youu
@soscott212
@soscott212 5 лет назад
his low key countræ accænt 😍😍
@Gabriel-rz3bt
@Gabriel-rz3bt 24 дня назад
Thanks again to the goat 🐐 of understanding hw
@augustmunson7757
@augustmunson7757 2 года назад
that moment when you sketch what he has, solves it, and then he immediately says "lets start over" and creates a completely different problem.. @ 10:22
@iambatman3.14
@iambatman3.14 Год назад
You're the best,as always.
@trangbui1910
@trangbui1910 6 лет назад
This is so helpful
@jdnevik2412
@jdnevik2412 2 года назад
I wish you were my dad
@pinkstrikeps1507
@pinkstrikeps1507 3 года назад
I cannot believe how long it took me to just start using Snipping Tool to do the problems before they were solved. It is good practice & I can see if I am right. Also, unrelated opinion. I think that the Organic Chemistry Tutor is better than Khan Academy in many aspects. I just got done watching of Sal's videos, and it did not help, but this is a lifesaver!
@cherrypop7690
@cherrypop7690 4 года назад
Tomorrow is my test! Wish me luck :-)
@kathleenelizapeterson3855
@kathleenelizapeterson3855 3 года назад
Good luck...
@bekolops
@bekolops 2 года назад
did you pass??
@angelalam7564
@angelalam7564 3 года назад
I literally love u ur a lifesaver
@NoorChalabi1
@NoorChalabi1 7 месяцев назад
i love you man
@adjadiop1353
@adjadiop1353 3 года назад
Conc Down : (-4,-3) U (-1, 1) I thought the 2nd one would be (-1, 2). Please someone clarify. Thanks!
@FadilAidid
@FadilAidid 2 года назад
yes the second interval where the function concave down supposed to be (-1,2), because the second derivative on the interval (-1,2) is negative (meaning the rate of the first derivative function on interval (-1,2) is decreasing). I think he just did a typo.. CMIIW
@Ranayoonus1485
@Ranayoonus1485 2 года назад
You are my life saver🙂❤️
@husseinalhadi5471
@husseinalhadi5471 6 лет назад
Excellent explanation
@ayubsed4837
@ayubsed4837 4 года назад
I understand.....it....finally.....
@GraceAjayi
@GraceAjayi 6 лет назад
thanks you so much! This video was very helpful.
@diadhariwal2604
@diadhariwal2604 3 года назад
C up at 22:29 is (-2 to infinity)
@manleyrobin8910
@manleyrobin8910 3 года назад
Great explanation🙏
@Hellokitty30481
@Hellokitty30481 3 года назад
You are an angel
@jennafazzone
@jennafazzone 4 года назад
The slope of f becomes the y value of f prime
@Maya-xs9xn
@Maya-xs9xn 2 года назад
Great video. Thank you.
@yona9257
@yona9257 Год назад
How would you graph the derivative of a function with a hole at a point?
@solomoniac_2266
@solomoniac_2266 2 месяца назад
Watching this 30 mins before the exam in the exam hall
@alicemusabe6850
@alicemusabe6850 2 года назад
super helpful and well explainedddddd
@pranit3005
@pranit3005 3 года назад
Good explanation
@Chrisymcmb
@Chrisymcmb 3 года назад
Thanks Julio!
@ari.thatsitjustari.9680
@ari.thatsitjustari.9680 6 лет назад
Thank you.
@fatima7174
@fatima7174 4 года назад
I was stupid and after I watched this I confirmed that that was true.
@staycalm9979
@staycalm9979 3 года назад
No one are stupid. You just have to believe in yourself.
@kingklaus2115
@kingklaus2115 Год назад
@@staycalm9979 *is
@staycalm9979
@staycalm9979 Год назад
@@kingklaus2115 Thank you. 🙂
@kingklaus2115
@kingklaus2115 Год назад
@@staycalm9979 You’re welcome! 😁
@SauceBoss323
@SauceBoss323 7 лет назад
life saver!
@quarstrongforce
@quarstrongforce 4 месяца назад
Increasing - positive, zero, decreasing - negative.
@alexmarcher
@alexmarcher 3 года назад
the world would be dumber without you
@repetitor_
@repetitor_ 4 года назад
Довольно подробно! Спасибо!
@Musicjuice12345
@Musicjuice12345 Год назад
Thank you so much sir
@harshithamaddi3328
@harshithamaddi3328 2 года назад
THANK YOU!
@razasyed575
@razasyed575 3 года назад
frickin life saver
@jennafazzone
@jennafazzone 4 года назад
F increasing decreasing fprime negative positive
@mujtabahasan01
@mujtabahasan01 6 месяцев назад
Thanks
@user-gs2vw1uy5v
@user-gs2vw1uy5v 7 месяцев назад
23:09 isn’t the second concave down interval from -1 to 2? Like this (-1,2)
@jjo2760
@jjo2760 Год назад
thank you
@worthplayingfor2197
@worthplayingfor2197 2 года назад
saved me thank u
@chaseramos4865
@chaseramos4865 4 года назад
Why are you studying the night before your test?
@digne.j4141
@digne.j4141 Год назад
how to find from which side it goes up or down? for example fx= x^2
@John-bq1lp
@John-bq1lp 6 лет назад
thanks a ton!!
@aprajitaagrawal5512
@aprajitaagrawal5512 8 месяцев назад
I love you
@Shahad-yx8uu
@Shahad-yx8uu 2 года назад
What does it mean to change instantaneously at 12:23??
@akmalhariz9372
@akmalhariz9372 3 года назад
from this can we find absolute min and max point?
@matildawillcox1693
@matildawillcox1693 4 года назад
This kills my brain cells but awesome vid!
@bryce8793
@bryce8793 4 года назад
i love you
@crazyahhkmed
@crazyahhkmed 6 лет назад
Very helpful, thanks
@baybabes3958
@baybabes3958 2 года назад
5:50 how is that increasing the arrows going down?
@mattle8906
@mattle8906 2 года назад
I was so lost until this point
@lukenoel9075
@lukenoel9075 5 лет назад
This man obsessed with sin waves
@jimmycorp
@jimmycorp Год назад
Did the f=X^2 for the original function come out of thin air?
@optrblx2525
@optrblx2525 Год назад
that’s just the normal equation of a parabola and he used it as an example lol
@ic9459
@ic9459 2 года назад
My Reference: 8:40
@ic9459
@ic9459 2 года назад
23:35
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