Increasing/Decreasing + Local Max and Mins using First Derivative Test
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- เผยแพร่เมื่อ 12 ก.ย. 2024
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Increasing/Decreasing + Local Max and Mins using First Derivative Test
Holy crap man I went from 58 average to a nice 84 with the help of your videos I am so thankfull!!!!! You are the best!
i think this world would be a better place if you became a calc teacher. there would be no more wars or starvation.
you saved my life Patrick, thank you for having such an awesome style of teaching that helps me every time
Glad you like the vids!
mine too!!!!!
Patrick mate just got 89% on my midterm calculus test thanks to you!
idk why but i understand the lessons but when i do it on my own, every concept i learned somehow gets lost in my brain.
+jessica somerhalder it is always much easier to watch someone who knows what they are doing vs doing it yourself when you are first learning it. that's just how it goes.
same is the case with me :P
Clear, concise, and with great illustrations. Well done, m8.
You are a true hero, never forget that
you're amazing brother, keep up the great work!
"this is always true in general" kinda like "50% of the time all the time"
my pleasure, come back any time :)
Thank you so much. You are a lifesaver when it comes to calculus chapters that I don't quite understand. great video!
I Love u bro thanks so much for the vid its a better and an easier explanation than my teacher I've been trying to figure it out all morning didn't know it was that simple thanks again ur a life saver
I got my HW questions right after I watched your video. I NEVER get the questions right. Either you're incredble and should replace my monotonous professor, or the end of the world is near. o_o Thank you, patrickJMT!! :D
Man you are the best. I just started learning calculus and it's going to help me a lot. God bless you.
Man, your clarity was like awesome!!! Save my missing class
Thank you so much for putting this video out. It helped greatly in studying for my exam.
@Nafisatzc i am pretty sure i am real... but i could be wrong
Thank you Patrick!
Great job explaining. Very helpful.
Thanks a lot Patrick! This is an older video but it is still helping calculus students to this day ;D
Amazing video! I'm suffering slightly from depression and stress from how much I'm struggling and trying to keep up with Calculus at my college, and so far this helps so much more efficiently.
I have a question though for the end: why does the function decreases from the interval (-inf, -1) and (-1,0) instead of just writing out (-inf, 0)? Is it not decreasing at -1?
We r appreciate your effort to help us Petrick.
Thank you soooooooooooooooooooooooooooooooooooo much.
THANK YOU! Reading about this was so confusing. You know how to make sense of this stuff in a way that..well makes sense ;)
Thank you very much,Patrick! You really helped me on my final
THANK YOU!!!! I wish you were my teacher
dude you're awesome
Thank you so much! You explained it so well, and I finally understand it!!
I'm pretty sure that my your videos are making me pass Business Calculus. The main problem I have with my teacher is that he doesn't understand how to explain something so that someone who's never done it before can understand. He knows his stuff, he just can't dumb it down enough for the students to understand. You, on the other hand, can. That's the difference between a teacher and a guy talking at the board.
You could easily be a college professor, you are of if not above that caliber of teaching and you certainly beat my calc teacher any day.
Patrick u r a genius..my math's final exam is next week and u helped me thank you teacher
how did you do on that final?
It's funny how you teach better than any teacher I EVER had.
thank you so much man .. I have an exam and u really help me 💖💪
I posted that comment 9 months ago, I've been finished with introductory calculus for 6 months now. But thanks for your reply anyways.
Omg!!!! you are amazing!!!!! YOU ARE MUCH BETTER THAN MY TEACHER!!!!!!!
thank you :)
1:20 am ..Test tmw and this is the only thing I yet have to learn... .. I'm writing this before watching the video.. so I'm hopeful...
his writing is so beautiful
im going to be honest.....your a freaking boss!
A boon for generations to come.
@PhillipBroussard it doesn't really matter as long as you get the concept behind this simple example.
that was the most beautiful neg. infinity sign i have ever seen drawn by a human hand
thanks a lot sir you are doing a great job. God bless you.
My math teacher is horrible and she makes this very difficult to understand. 70% of my class never shows up and most of us are not going to pass this class. C- or better is required. People who are not good at teaching should stay the hell away from it cause there is an obvious difference between your method and hers. Yours works hers does not.
this was so much clearer then what my teacher explained
Awesome!! Maybe next you could include absolute and piecewise functions.
Your video is very helpful. thank you so much!
Thank you so much.. You save my life.
I guess you made a little mistake at 6.25 when you squared the square bracket after factoring the term.
However, you are doing a great work. Keep it up and stay blessed.
you are the best SIR
respect from 2018
oddly enough, watching this with heavy metal in the background flowed really well with the lesson.
First of all i want to say that you teach extremely well and you are awesome!
If you have time and you are kind could you please help me with this problem.
Suppose we have the following function
f(x)=19^x+5^x-17^x-13^x=0
How do you find the local max and mins using first derivative? If we differentiate we get worse...
I would be so happy if you can reply to this message!
I guess you made a little mistake at 6.25 when you squared the square bracket.
However, you are doing a great work. Keep it up and stay blessed.
u're ma most favorite imaginary character Patrick !!!
Thank you so much! I am going to pass my calc exam! woop!
super amazing explaining
your videos are amazing btw do you a have video on rolle's theorem?
I love it ! thank you very much
Another great video.
Wait Patrick, I'm kind of confused..
At the point x=0, shouldn't the y value be a zero?(Since it is a zero)
Why is it that when x=0, the y value is -1 (0,-1)?
In the second function: in x = -1 it is decreasing and in x = 1 it is increasing.
Instead of doing DEC: (negative infinity, -1) (-1,0) and INC: (0,1) (1,infinity) can't you just do DEC: (negative infinity,0) and INC: (0,infinity) ? Wouldn't it mean the same thing?
I dunno why but when he said "I'm gonna take any number greater than zero -- a billion -- I'l get a positive number" I laughed.
Can you post more first derivative and second derivative test examples involving trigonometric functions
Why did you pick two extremely easy examples? What about t-1/2t^2 or 4/(x^2+1)
Good videos, really help!
Great video!!
Why doesn't the slope don't go from maximum to zero to maximum or minimum to zero to minimum, aren't there any functions that behave like that
how do you know whether to use the first derivative test or the second derivative test?
hey Patrick , I think if f(x) is +ve in interval neg.infinity to zero then its increasing function, it never decreases [f(x) = x^2]
thank you for these videos !!! My professor drives me crazy :(
i bet he does
Mr Patrick, will the First Derivative Test work if we choose large values to the left and to the right of the stationary point to be tested?
Thank you!
Thank you
This is perhaps the best place to be
you are very clever in math !
Why didnt you use -1 and 1 in the original equation?
Do you have an example of how to find inc./dec. with first derivatives thats more complex. Like with exponents above 2?
what if there are no critical numbers?? how do you know if the function is increasing or decreasing then? Please help.
If the critical number is not in the domain do you still have to test for increasing and decreasing?
Thanks
but when would you know when a function is undefined? :/
Thanks a ton !!!!
good luck my best techaer
Why did he say the function was decreasing on (-infinity, -1) U (-1, 0)? Could he have wrote it as (-infinity, 0)?
No, because the interval ) means that at -1, it doesn't occur at -1.
Where's the 2nd one? I need it!!!
Hey patrick so what youre saying is that after we find the critical numbers do we have to plug those back into the eqn to know if its a local max or min or do we take from its range like for e.g the critical points are -2,2 for e.g and should i take -3 , 4 ? for e.g to plug those back into the f' to find whether its a local max or local min? I have a test on Monday..
Fernando Alvaro you use critical points and create a plus-minus chart of f'. Where f' is negative, f is decreasing. Where f' is positive, f is increasing.
dude what about inflectionary points at x=-1 and x=1
qus: u used open intervals while writting dec and inc..is it correct?
Someone help, i don’t understand how to do increasing and decreasing functions at all!!!! What about the dy/dx0
This video is not teaching you how to derive, but how to use it to plot a function. Besides, the two examples you said are just as easy.
I love you! My girlfriend approves. Lol Thanks for the video
thanks man
thanks a lot
Mr Patrick I just wonder if was asked to detrmine the increasing and decreasing intervals in the graph , does it implicitly mean that I'm testing the critical points ? thanx💙.
Since he pretty much does that at 6:38, then yes, it does implicitly imply testing for crit #'s, because only at the crit#'s does our curve f(x) possibly change direction.
Like the graph for f(x) = x^2 Patrick did at the beggining, before the vertices point (0,0), our y values tend to be decreasing as x goes on. Only after that point (0,0), does our y-values then start to increase as x goes on.
Knowing this, if you didn't know this at the start, and instead found the critical numbers for f(x) = x^2, I can assure you that right after you derive and look for what x-values make f'(x) = 0, one of those x-values would be x = 0 (which for f(x) = x^2, I think is the only crit#).
Even though it's been 9 months, I hope this can at least help other lurkers lol.
what if an undefined value also comes ?
that means that also is a critical point
proud to be an indian
bless you
local or absolut min
thanks goin to the next vid
@patrickJMT The Batman!
Hi please help me find integral of |x^2-6|
Yassin Saho integral of x^2-6 is 1/3x^3-6x
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