Finding Critical Numbers
This calculus video tutorial explains how to find the critical numbers of a function. These include trig functions, absolute value functions, rational functions, fractions, square roots and more. To find the critical number, find the first derivative of the function, set it equal to zero, and solve for x. If you have a fraction as a derivative, set the numerator and denominator of the fraction equal to zero and solve. Critical numbers occur when f'(c) = 0 or when f'(c) does not exist as in the case of a cusp. This calculus video contains plenty of examples and practice problems.
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: 152
Next Video: kzread.info/dash/bejne/iXelldWLqtawltY.html Final Exams and Video Playlists: www.video-tutor.net/
@jeffreyshort4427
Жыл бұрын
How did u get 0=x+1
He is dominating KZread right now. I think what make him great is that he is not trying to show that he well master the material, he just being a genuine teacher, really wants his students to understand.
@tis_i_sana
2 жыл бұрын
This is very true!
You are the only thing keeping me from failing my calc class
@JuanLopez-nx5dy
3 жыл бұрын
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@ajlewandowski3060
3 жыл бұрын
@@JuanLopez-nx5dy Unfortunately, no
@mrw5258
3 жыл бұрын
@@JuanLopez-nx5dy lmaoo
@voodooblue6162
3 жыл бұрын
Juan López Hahahahaha. You are so funny, bro!
@mrw5258
3 жыл бұрын
@@voodooblue6162 bro do you know candice
may god bless you....you are making my university life so easy.....
Ive made it to Calc 3 watching your videos, thank you so much. This is my last math class.
Hey man, thanks for your help. I love how descriptive you are and how you share multiple resources if something is not understood. You're a great teacher.
I've taken calc 1 twice now, I did it in high school and now in college, both times I've used this channel to help study for the tests
God bless you, bro. You've been teaching what I don't learn in class for two years
legit 3 minutes of OCT> University professor.
Thank you so much for this video!! You helped me completing one of my homework questions and better understand how to find a critical number of a function.
officially my best youtube teacher
You may be somewhere in LA but know that your students are all over the place and they appreciate your efforts. Thank you 🙏🏽
Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Finding Critical Numbers in Calculus One. Finding Critical Numbers is important in all levels of Advanced Mathematics. This is an error free video/lecture on KZread TV with the Organic Chemistry Tutor.
Another interesting way to solve the absolute value problem is to realize that |x| = sqrt(x^2), and finding the derivative that way. Derivative of |x| would be |x|/x, then just use the chain rule. I thought that was an interesting alternate solution.
your humor is just lovely
You be saving my life I swear
Such an amazing tutor👑
Thank you so much, I was badly stuck on mod problems
his videos will never fail me
Nice. Very relaxing voice.
many examples help A TON
once again thank you so much for the help !!!!
Good keep doing what you are doing
This video is wayyyyy better than the one on Khan Academy
i really like you,re all videos keep it up
Great explanation JG, as usual.
Congrats for 2M subscribers
Great, I was stuck on a homework problem and you solved one almost identically!
I love your videos, in a cool bro way.
Man's a legend
Finally I get it! Thank you!
May God bless you and your family
i wish you have covered the trig functions with a coefficient. trying to find zeros of sin(3x) for 0 less than x less than pi..... the anser is pi/6 and 5pi/6 but i dont see how... little help anyone??
in 15:14, why does the 9-x stay? Wouldn't it be just 1 since you are pulling out the (9-x)^1/2
@mitchelemonye503
Жыл бұрын
that was what i was thinking as well, did you figure out why
I'm at home sick and this is really helping me keep up in class.
I will never stop turning to OCT videos to save me
Your voice is amazing. Thank you for the explanation by the way.
2:04 "set the numerator equal to x" - don't you mean equal to 0?
@dareal2669
4 жыл бұрын
He did to zeeo that's how he got -4
I got a 100 on my calc exam thanks to you 🙏thank you for these videos.
@Dylan_J_Johnson
4 ай бұрын
All my calc exams have only been 50 minutes and had over 30 problems. No one is passing and the average grade is a 33. College is great.
You are doing Gods work!
@ghhjjhjjjhujjvfhm7962
3 жыл бұрын
Chill
You. Are. The...BESTTTT.
Thank you bro
Thanks man
So whenever you are finding the critical number of a fraction/ rational function you set both the numerator and denominator equal to zero?
@Dylan_J_Johnson
4 ай бұрын
Yeah
THANK YOU
You helped me earn a 100 on my differential calculus exam
thank you so much.
17:22 i think root of 9-x^2 had been smaller than 0, the interval would been critical. Am i right? Should we have considered this situation?
@chaseramos4865
4 жыл бұрын
yes
From this point forward, I hope you find close parking spots on the days you're late for something.
Can someone explain at 5:19 why we ignored 6?
A vertical asymptote counts as a critical points?
anyone else trying their hardest not to fall asleep trying to do their homework?
plz do more on integration
@winstonava1
6 жыл бұрын
organic chemistry....
19:00 why are we dividing -sinx when there’s a sum(or substraction) there?
@mataraxis.1982
3 жыл бұрын
That's called "factoring".
Life saver! Can you help me out with this equation- find the critical points for 9e^x-e^3x+6
god bless this channel
Bro came in clutch
is "e" a local maximum
saved me from despair.
Thank you so much because I loss three mark in 12revision exam .thank u
5:30
I was hooked when he didnt redraw the first graph 5 times to get the perfect smoothness. I hate when math teachers do that.
Why wen the derivative happens to be a fraction why do we have to equate them to zero separately??
طالب سادس فضولي 🫣 Thx bro for this video ❤️🩹
Can someone explain please how setting it to zero equals it to -1 @ 3:20
@jawadtariq9634
Жыл бұрын
You subtract both sides of the above equation i.e 0=x+1 by -1. Thus, 0-1=x+1-1. The 1s cancel each other out leaving behind: -1 = x or x=-1.
luv it! question though, what's the difference between a critical point and a critical value?
At 2:05, what do you mean by, "if we set the numerator equal to x"? Did you mean "set the numerator equal to -4"? I'm confused
@turkeysamr
Жыл бұрын
If he solves the top of the equation as in 2x+8=0 and solves for x it'll be -4, at least that's what I'm guessing lol
Whats the difference of critical point and critical number
@user-em2hg7mu7l
9 ай бұрын
Let us assume critical number is c. Critical point is ( c, f(c))
May you live long
17:19 Nice
@bobjoe164
4 жыл бұрын
thats wack. lol
at 19:40 isnt 1/2 divided by -1/2 gonna be -1? Why is it (9-X)^1
@searacha5604
3 жыл бұрын
14:40
@SM-qn7sr
2 жыл бұрын
You’re dividing the exponents. So it’s like 1/2 - (-1/2)= 1/2 + 1/2= 2/2= 1
Sounds like lil Tecca is teaching me math lmao
May Allah bless you for being such a big help for us!!
but what happened to the 6 that was factored? 5:15
@Ed95366
2 жыл бұрын
Don't know if this comment will help now but, he discarded the 6 because he wanted to find out what the x's have to be to make the number in the parentheses become zero. If one number in one of the parentheses becomes zero then the whole equation will become zero because zero times what ever number will automatically become zero.
@SM-qn7sr
2 жыл бұрын
The 6 is a constant and you can divide it by 0 and it disappears
Only fill the blood applied to you by a time or second you take it in til you rest%accountable
17:20 .......nice
Sir why we compare the 1st derivative with 0
@dfm01000
3 жыл бұрын
Because it's the only way to find the critical number/numbers
@SM-qn7sr
2 жыл бұрын
Because when the derivative is 0 there is a horizontal tangent line where the slope is 0.
BLESS
Accountive
Hello Mr Donʼt you have videos on Structural Analysis: Shear Force Diagrams, Bending moment Diagrams, Deflections of beams, Method of sections of finding internal forces and More? Please...
@georgesadler7830
11 ай бұрын
Please google lectures by Jeff Hanson for this material.
This man is the only reason why I understand CALC
May Allah bless the great job yours bro.
@issayahya625
Жыл бұрын
he is not muslim so respectfully stfu
@youtriggered8179
Жыл бұрын
@@issayahya625 so what? can he not wish him health? muslim or not... tf
17:19 nice
Still not watched full 😭
i was about to fail my upcoming test until i found this video holy crap thank you!
Could anyone write trigonometric lesson that this brilliant teacher has shown last 2 minutes
@issayahya625
Жыл бұрын
he is gay
@furkankaraman6245
Жыл бұрын
@@issayahya625 what do you mean, ı could not understand ?
Cosin of 120( 2pi/3) is also 0.5 (1/2)
On example 2. If you factor by the quadratic formula, you get x = -2 ; x = -3. Unless I simply just made a simply math error. I believe the critical numbers are -2,-3. Please correct me if I am wrong.
I got pack hit em and do it again
I really have hard time understanding polynomial graph.
why cant x = 0 when sinx = 0
Why can't you be my professor
WD
💛💛💛💛💛💛💛💛
Φουερ Μάθ ψήφ μετεω διδ 2
Stop honoring him.. He is just like everyone else a regular human being.
@user-kn2ub2cj8z
2 жыл бұрын
No he is nota regular human benig . I get high not in the exam because of him . He is not normal he was never normal he is always a great person. English is not my first language but I can understand everyo he is explaning easily because he is great .
@jermaineferron2722
Жыл бұрын
you a hater
🌻🌻🌻🌻🌻🌻
"iniwan na "? haha
great vid but please fix your volume. I have to crank mine up, then I get blasted by an ad
so is it a written rule that everyone who makes a math video on youtube has to be sitting a minimum of 14 feet away from their mic.