Increasing/Decreasing + Local Max and Mins using First Derivative Test
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- Опубліковано 9 лют 2025
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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!
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!
i think this world would be a better place if you became a calc teacher. there would be no more wars or starvation.
Thank you so much. I have a very hard time learning math, not bc I can't understand math but bc I am almost exclusively a visual learner, and while math is mainly written, most of the explaining is in the teachers' lectures making it nearly impossible for me to follow lessons in class. Your videos are so easy to follow... You write every little step you do down and it really makes a huge difference in helping me understand. Thank you so much.
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!
Thank you Patrick!
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
my pleasure, come back any time :)
Man, your clarity was like awesome!!! Save my missing class
his writing is so beautiful
Man you are the best. I just started learning calculus and it's going to help me a lot. God bless you.
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
It's funny how you teach better than any teacher I EVER had.
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?
this was so much clearer then what my teacher explained
"this is always true in general" kinda like "50% of the time all the time"
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
Thank you so much for putting this video out. It helped greatly in studying for my exam.
im going to be honest.....your a freaking boss!
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.
Thanks a lot Patrick! This is an older video but it is still helping calculus students to this day ;D
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.
Thank you very much,Patrick! You really helped me on my final
Great job explaining. Very helpful.
that was the most beautiful neg. infinity sign i have ever seen drawn by a human hand
A boon for generations to come.
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 so much man .. I have an exam and u really help me 💖💪
We r appreciate your effort to help us Petrick.
Thank you soooooooooooooooooooooooooooooooooooo much.
Omg!!!! you are amazing!!!!! YOU ARE MUCH BETTER THAN MY TEACHER!!!!!!!
thank you :)
I posted that comment 9 months ago, I've been finished with introductory calculus for 6 months now. But thanks for your reply anyways.
THANK YOU!!!! I wish you were my teacher
Thank you so much! I am going to pass my calc exam! woop!
oddly enough, watching this with heavy metal in the background flowed really well with the lesson.
dude you're awesome
Your video is very helpful. thank you so much!
Thank you so much! You explained it so well, and I finally understand it!!
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...
you are the best SIR
respect from 2018
Hi Patrick! Your videos made me understand the lessons that needed practice 10x faster. Also, I have a quick question for you. Why did you take out the squared form for (x^2 - 1) when you set it equal to 0?
If I am understanding correctly, we are simply setting each factor equal to zero. you could have factored f ' (x) a bit further first, but it really does not matter. Likewise, when I use test points I would find this form easier to evaluate.
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?
thanks a lot sir you are doing a great job. God bless you.
super amazing explaining
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.
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.
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.
Thank you so much.. You save my life.
Great video!!
Another great video.
I love it ! thank you very much
Good videos, really help!
Thank 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.
u're ma most favorite imaginary character Patrick !!!
you are very clever in math !
your videos are amazing btw do you a have video on rolle's theorem?
good luck my best techaer
Awesome!! Maybe next you could include absolute and piecewise functions.
Thank you!
Thanks
If the critical number is not in the domain do you still have to test for increasing and decreasing?
thank you for these videos !!! My professor drives me crazy :(
i bet he does
Thanks a ton !!!!
This is perhaps the best place to be
@PhillipBroussard it doesn't really matter as long as you get the concept behind this simple example.
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!
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?
what if there are no critical numbers?? how do you know if the function is increasing or decreasing then? Please help.
thanks man
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?
how do you know whether to use the first derivative test or the second derivative test?
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.
Do you have an example of how to find inc./dec. with first derivatives thats more complex. Like with exponents above 2?
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)
@Nafisatzc i am pretty sure i am real... but i could be wrong
I love you! My girlfriend approves. Lol Thanks for the 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)?
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]
thanks a lot
qus: u used open intervals while writting dec and inc..is it correct?
bless you
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.
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
Why didnt you use -1 and 1 in the original equation?
ily
thanks goin to the next vid
@patrickJMT The Batman!
but when would you know when a function is undefined? :/
BLESS
what if an undefined value also comes ?
that means that also is a critical point
Where's the 2nd one? I need it!!!
dude what about inflectionary points at x=-1 and x=1
Hi please help me find integral of |x^2-6|
Yassin Saho integral of x^2-6 is 1/3x^3-6x