Basic Derivative Examples

[@TheCoffeybeans]

Learned more in 9 mins here than in 3 months in college haha

[@magnusk750]

You literally saves my... I'm studying on a distance course in a foreign language, teacher extremely unpedagogical the few times we see her. Same thing every time, I understand absolutely nothing after lessons, then I go home and watch a few videos that a guy on the other side of the planet has made and share with us for free and slowly I begin to grasp. It'not easy, it's a slow process, grades not the best but I do push through somehow, thanks to you!

[@patrickjmt]

yep, not all of my videos are on KZbin... i originally posted them to google video instead, and some of them are still there. so.... the complete list is regularly updated on my website!

[@thelovyy]

not only in america, math language is universal. Kind regards from Norway, your work is appreiciated here also!

[@faris899]

So this is where it all started! I watched almost every single one of your Precalc and Calc videos. You. Are. Awesome.

[@MrWyte1]

Amazing teaching skills! I am usually lost during class, but a few minutes watching your vids puts me right back on track.

[@ian559fresno]

WOW! 1084 Videos, Wonderful. Thanks for taking your time to post these. I don't care if they are taken with a flip phone..Its better than nothing...heck its better than most teachers.

[@patrickjmt]

@joesl8 first, it is pi, not pie. and pi is a number, not a variable so the derivative of pi to any power is zero.

[@therotaryrocket]

This is the first video in my evening of searching calculus videos that gets basic enough for me to understand without watching it twenty times. I'm taking Cal 1 and have not taken the right prerequisite so this is definitely helpful. I'm subscribing, thanks for putting this and all the other info out there!

[@christief.3516]

😅what is necessary to learn calculus

[@christief.3516]

Learn calculus

[@mareey]

your voice is so friendly which makes it that much more effective!

[@EngAbuFahd]

you really explained in a great way thank you are my best mathematical teacher in KZbin

[@patrickjmt]

@WeekendWarrior1210 ya someone else pointed this out. i have a hard time counting past 5

[@patrickjmt]

@zarp29 cause a constant does not change, hence its rate of change is zero

[@Lain090]

not just America The World, it's spreading :D We're from the U.A.E. & students from our University are always recommending your videos :D Thank you It's very helpful, it's very hard to remember from school, or undersand in class!!. ~ Bless your life!!!

[@patrickjmt]

@barneel0verz yes, well, i think this may literally be the first video that i made. ;) i remember the cord on my headset mic was short; i felt like i was on a short leash!

[@fredarc]

Hello! Yeah I have just been looking for some basic vids about this level of math and I find these really helpful. Looking forward to watch all of your tutorials, and hopefully one day I will be able to repay the kindness of all guys that make self tutoring and education possible and even fun! tHanK YOu!

[@definiantly]

My calculus professor is terrible at explaining things, so I'm completely depending on these videos to pass the class. Thank you!!!!!!!!!

[@patrickjmt]

@u2ubeac this was one of the first videos i ever made, so it is not the best production quality : )

[@glitters171717]

YOU SIR, ARE A LIFE SAVER

[@cherrypieee456]

This is a good video; i like how you thoroughly explained the process of finding derivatives. The only problem i have is when i couldnt see what you were explaining for #8 (because your arm was in the way)

[@stgc1993]

my new favorite channel

[@popedarren]

Really good job. I don't think you make things too complicated, but I do like to see what you're writing, so you might think about changing the angle of the camera, or stepping away from the board to explain with a laser pointer or something. Thanks again!

[@ashleypina1]

@TheEirica This can be rewritten as 1/x to the 1/2. To get the power of 1/2 out of the denominator you will have to put it in the numerator while making 1/2 negative. So you will have x to the negative 1/2. Then you can use the derivative rules of multiply x by 1/2 and subtracting 1 from the exponent.

[@Zilchary]

I passed math class thanks to this video!

[@WeekendWarrior1210]

Not a huge deal, but you've got two number 5's. Threw me off a little after writing down the problems. Great vids man, really.

[@utopiatech8144]

could you do this video over in better quality as I find it difficult to see certain parts of it. ? other than that, splendid explanation.

[@shakeel7157]

***** ommaha

[@patrickjmt]

@socerplayer23 why are you asking that question on this video though?

[@Elaina_Barkhorn]

I'm watching it 13 years later hiahia

[@patrickjmt]

@actionjessie happy to help : ) especially since you have a joy division song on your profile

[@patrickjmt]

@socerplayer23 what should it be?

[@patrickjmt]

@awefilledcreep how did you go from - 2/(x^2) to + 4x^-3?

[@patrickjmt]

no problem, good luck in your class! (i have vids for a lot of calc 1 and calc 2 stuff that is better organized on my website!)

[@patrickjmt]

it is on my channel page. i am not sure who people think that is :)

[@meatlover6916]

its 2021 and it still helps

[@discuss2130]

So much better the newer paper and whiteboard method. Useful basic examples.

[@YouheiRokujo]

even though this is a few years old... it helps so much!!!

[@TylerDavie]

2021

[@rehmanarshad1848]

Some one who actually breaks it down and doesn't skip steps....... wow they actually do exist!!!

[@patrickjmt]

yes, this was one of the very first ones

[@MA-qg8qb]

Simple and clear. Thanks man. ❤

[@patrickjmt]

great! glad it helps!!

[@iNick3]

Derivatives are part of calculus, which is basically more advanced algebra. I haven't taken calculus yet (although I will be taking it this year), but I believe the derivative of a function shows you how the graph of that function changes.

[@thew00ted]

u r incredible 4 posting this videos

[@patrickjmt]

thanks for the kind words :)

[@lovegas913]

THANKYOU THANKYOU THANKYOU! I totally passed my calc test!

[@patrickjmt]

@TheDubCollector ops, my mistake! i have a hard time writing and talking some times : )

[@patrickjmt]

thanks!

[@onlymusicbeats3020]

Nice and very good explanation and question

[@patrickjmt]

thanks friend!

[@tatichan123]

Patrick! thanks for all the videos! you have saved my life so many times! but please use paper instead of your whiteboard because its hard to see... THANKS!

[@xxyxexmxi]

Very direct and pensive. Kudos!

[@patrickjmt]

no problem!

[@patrickjmt]

@abuelT who said i am either?

[@kwangakaweza4053]

Very helpful when studying!!!

[@n1g3l25]

what!? wheres the sharpie?! this is some oldschool patrickjmt

[@socerplayer23]

While i was doing my homework on basic derivatives i thought i heard you say that 0 to the 0 power is undefined. Is that a stupid question asking you that. btw you are really good at explaining things. If it wasnt for this video i would of gotten a F on my homework so.... Thx! i understand how to do basic derivatives because of you :)

[@patrickjmt]

@Juriello my brain does not work so well

[@dailydoseeve9525]

thank you soo much.. this really helped me a lot :) thumbs up

[@bee3108]

thanks a lot,i can study at home by this way.comfortable and easy-understanding;-) Good job

[@patrickjmt]

@Ameliadams using the definition? yes, a bunch of them

[@patrickjmt]

@gulamehussain you can explain it. go make a video.

[@codaro100]

thanks, this was very helpful. and im left-handed too by-the-way! just remember we are way smarter than right-handed people!

[@patrickjmt]

and yet, i am such a mean guy in real life!

[@boorens18]

the derivative is used to find the slope at a point on a curved line

[@KoreaXFan]

You should remake the video with better quality :D. And on paper like your other videos. It makes it so much easier to understand and view.

[@dorothydorothy111]

Hey patrick, the 'basic derivative formulas' video isn't on utube...i found it on your website..and it is from google video..just thought you might want to know there wasn't a link ;-)

[@jimwalsh2001]

Question 4: one over two x to the negative one/two power; wouldn't that equal two x to the positive one/two power...?

[@amirafatin]

@patrickJMT ok thanks....i'm from Malaysia so the titles of the topic are kinda diff, but i will look for them..:)..thank you for helping us out

[@patrickjmt]

technically, i think it is the derivative of the velocity function : )

[@YesterdaysHeadlines]

I started bleeding from the ears from internal brain hemorrhaging trying to understand this

[@wojtek3016]

in the third example, root of 20= 20^1/2 therefore the derivative is as follows 1/2(20)^-1/2 = 10^-1/2 am I right?

[@amirafatin]

patrick do you have a video of derivative using differentiation from first principles..? i don't understand that

[@argucis12]

In the example 5) where y'=(5(x^2)), is it required to take 5 out in fron of the brackets? You do that and get result 10x, but if i do not do that then the result is 10x*5, or i am incorrect?

[@patrickjmt]

did i somehow help? : )

[@RandyLott]

@nibauAntunes Position, P'=Velocity, V'=Acceleration, A'=Jerk

[@actionjessie]

Patrick, you're starting too be sexier than Sal Khan x Thank you for making my engineer dreams come to fruition

[@patrickjmt]

now, all you need do is reach into the aether that is the internets... i will show you the way

[@RandyLott]

@nibauAntunes I wasn't insulting you, I was putting the comment for anyone that didn't know.

[@stupidintellect90]

Is derivative the same as differentiation? I live in England and I've noticed we use different terms.

[@barneel0verz]

If you have time you should redo this video, you unavoidably cover what you are writing half of the time. Thanks for all the videos!

[@RamiroGarza]

and believe me, not only from the USA. Greetings from Mexico!

[@happydude8815]

because u have to use chain rule so it would be 2(10v)(10)=200v

[@TheSkullar21]

hey what the derivative of x?? is it 1 or dx?? cause the integral of dx is x and the inverse of derivative is integral so can i say that the derivative of x is dx??

[@BHFJohnny]

Not only from America man. I'm from the Czech Republic and wonder what - the math is the same! :D

[@patrickjmt]

@joesl8 i like them both!

[@sobeita]

X^-1 = 1/x X^1/2 = sqrt(x) Square root is one-half power, nothing negative there.

[@Thrax005]

so what do derivatives represent in reality, what's there use in let's say physics?

[@positivedess]

i love patrick

[@yskulkarni100]

Thanx 4 posting

[@dorothydorothy111]

cool...i am sooo glad i found you...i would be so lost if not.

[@patrickjmt]

ops! : ) it is to make sure you are paying attention!!

[@ZWATER1]

thanks bro for the info.peace and god bless.

[@patrickjmt]

0 is a real number

[@TheEirica]

how do you find the derivative of 1/ (sqroot x) ??

[@xadekpl]

what about derivitive of x^2 - x is it 2x - 1

[@JerryV06]

is V^1 the same as V? on problem #5

[@YEUHNBD]

whats this calculus like compared to calculus 2 ?

[@imrama]

Thanks Dude.

[@abuelT]

r u a professor or a TA?

[@l4z548]

are you going to be going over first and second... derivatives?

[@RandyLott]

@aggiefitz No one really does, math is just a way of developing your skills to think a specific way. Although, some people do need it like us Engineers.