Sketching the Derivative of a Function

[kiwiblueyes]

You helped me SO MUCH! I understand it now!!!!! Your wonderful!!!!!

[JmacSens]

thank you so much!

[jesualdo2000]

you are the men thanks

[MrUnladenswallow]

thanks this was a great help!

[quantumXphysikz]

Please replace my teacher! You are wonderful!

[ashley92193]

thank you so much! I've been studying this for hours from the textbook and you taught me everything in 15 minutes lol. thanks! =D

[patrickJMT]

@ashley92193 no problem, come back any time :)

[jordanprodigy]

this helped me so much. thanks man

[Patel7867861]

So, I am given graph of f' and to graph f"

Q: For what values of x is f'>0, explain based on the given graph f'

I know the answer by looking at the graph but I have to give the explanation.

What is the explanation that I should in terms f' ???

Please help.

[6dicicco]

thank you very much! helpful on my quiz

[rahrahritaa]

thank you!

this was the topic the day i skipped class lol

[krs09003]

THANK YOUUU!!!

[safar127]

I WAS SO LOST BUT U MADE ME FIND MY WAY AGAIN THANKS!!!

[MagTheTf]

hey. I love the vids. but I keep wondering. Is it not possible for the lines of the derivative to be a straight(linear) line? because to me, it can be both curved or linear since it doesnt state whether or not the rate at which the curve on f(x) is decreasing is linear. I hope you understand wut i tried to say just now. please help me with this. Can the curved parts of the f(x) be linear in the graph of the f'(x)??

[blahblahblahhhhhhhhh]

I LEARNT SO MUCH FROM THIS 14MIN VIDEO THAN A ONE HOUR LECTURE.. You're awesome!!!! Thanks awfully!!! :)

[PSliveNlove]

Very helpful. thank you!

[patrickJMT]

@PSliveNlove happy to help!

[ChimiChaCha27]

Thanks so much! I really appreciate it : )

[Shadowrider941]

Thank you so much! I have my calculus semester finals this week and your videos have helped me so much! :D

[mysootsprites]

Thank you so much

[Ericka5651]

this video seriously just saved me from making a big mistake on my calc exam tomorrrow. Why does this always seem so easy when someone else is graphing this lol

[wolf0805]

Thank you so much!

[doomdoode20101]

Who are the 8 freaks that "disliked" this vid!

[wolf0805]

@doomdoode20101 Hopeless Calculus students lol

[trammiiie142]

you are amazing!!!!!!!!!!!!!!!!!!

[elyazzoo]

hey i really appreciate this my teacher doesn't really fit my learning style at all so you are literally getting me through calculus

[xlimegreen2x]

so... what about sketching the derivative of the derivative? Amazing video by the way, I was about to bang my head against a wall but this helped a ton! :D

[patrickJMT]

@xlimegreen2x just repeat the process!

[cuyes1223]

@patrickJMT thanks for posting these videos, im taking the ap test on may and im aiming for a 5

[mufc4everch]

awesome, you own khan academy!

[Iced0826]

You might not know this, but you're actually helping me with two of my major subjects. Math and Physics! I may never thank you enough for this! :">

[NachiMeNachiMe]

After looking at your videos my average went from 80s to 90s. Much thanks :)

[Xx0Mystic0xX]

How do you work backwards? And draw the original from the derivitive?

[patrickJMT]

@Xx0Mystic0xX check out my channel page. those are the most recent videos i made

[Brokewheels]

@patrickJMT Thanks

[patrickJMT]

@Xx0Mystic0xX i will also post it as a video response in the comment section

[bwill115]

I understand what is going on, however, I do have 1 question. On the first graph, how is it that the left side is going to be positive on the left side? Is it because it's going from -infinite to zero?

[DannyLinux]

@bwill115 its because the tangent line is pointing towards the positive Y coordinate as it goes from -infinity to +infinity! (:

[Nicole494fam]

Thank you! Thank you! Thank you so much!

[Rockin5teve]

@b33k3rz I completely agree. I find it pitiful how the teacher i see everyday for an almost an hour can't teach what this guy teaches in 15 minutes.

[eunicek628]

you helped me ace my quiz today! thanks a bunch! :)

[whatitdosoyo]

i learned more from this video than i did sitting in my calculus class for the past 3 weeks.

thanks so much :)

[iGiggleify]

THANK YOU. I have a test tomorrow that I was cramming for and I did not understand how to graph derivatives. Now I do! You are the nicest person... ever.

[lafjoke]

Thank you soo much for this!! Now if I forget my notes at school I don't have to fret because I have even better notes thanks to your videos!!

[blee0820]

im having trouble graphing this backwards- my teacher wants us to graph the original function given the derivative function. do you have a video for that? thanks

[cml4456]

Your graph is good lol.

[Chuwy389]

Thank you for your time....this helped me alot :)

[VinUnleaded182]

thank you so much. spent hours to wrap my head around this and your video cleared this up a lot

[MyCadillacIsBlue]

Nailed it buddy.. Really helped me out. Thanks :)

[danbeb]

I have a calculus midterm tomorrow. You may have just increased my mark.

[logicalayer]

very good lecture, thanks

[lilcritics]

Thank you so much

[hello12913]

You must teach in the university .... you are awesome.

[hathorrox]

@hello12913 he can relate to students and not present the material arrogantly and above someone's (who is learning this for the 1st time) head....no way he works at a university

[hello12913]

@hathorrox whatever .. he is best.and explains the things very nicely....I am an engineering student ... in 1st semester..but my teacher is just a dumb...i only listen to patriks tutorials...

[flarexdragon]

like a boss

[JohnBarchard]

Noo! Math! Dislike.

[iFarmeri]

@JohnBarchard Why the fuck would you watch this if you hate math? Dumbass.

[baliett]

thank you very much for this. i found it very helpful. (:

[helioselenus]

Awesome. Maybe the title should be "Finding the derivative of a function graphically." It took me awhile to find the right video. Thanks.

[leishyloo123]

This video is a life saver. I get it now!

[kingsley182]

Desperate attempts have led me to the internet. I found your video. THANK GOD. I AM GOING TO ACE THIS DERIVATIVE GRAPH IN MY MATHEMATICS EXAMINATION TOMORROW. THANK YOU.

[marinklostermeier]

What are you talking about your graphs are amazing!

[MrAznSoldier]

thanks for taken time to teach youtube

[patrickJMT]

@MrAznSoldier thanks for taking time to watch my videos : )

[TheDreadedFoosa1]

i love you

[oracle233]

if they give you a graph only and ask you for limits that are indeterminate could you use lhospital's on the graph to get a limit?

[Seanopp7]

You are the man!

[HomerunHomer2]

6 out of 280 ppl are evil geniuses

[constanzam5]

You are a freaking life saver!!!

[Zkill24]

this makes complete sense to me now thanx! Now i can sleep in my calc class today! lol

[Neifile]

so helpful, thank you so much! I finally get it!

[oris314]

Thanks bunch! i have calculus homework on graphing derivatives with only having the graph of f(x) and didn't understand it at all. now i can actually get my homework done!

[ImJussaBeast]

Man thank you helped alot with hw today

[TheQuanium]

Hi, i don' really understand how do you find the slope of the second graph, can you show me? Thanks

[patrickJMT]

@Ilikeroots ops, thanks for posting this, sorry it took e 3 months to notice. it is gone now : )

[coketita1992]

I love your videos, they are so well explained and better than the lectures I get in college, but I was just wondering if you learned by reading any books? And if you did, can you recommend a good calculus book? Thank you

[agentlopez1]

Are you a teacher, if so where do you teach lol. You should teach summer classes.

[patrickJMT]

@agentlopez1 used to teach, but with 'only' a masters, you can not find full time university positions. only short contracts with poor pay and no insurance or benefits. so, i no longer teach, except on youtube!

[NoogenMCC3]

@patrickJMT A great teacher like yourself will surely be repaid for their good deeds as a person in one way or another! I'm studying for the PCAT exam and this helped so much.

Thank you Patrick

[xastrickxplusx]

@patrickJMT even though i understand your choice, it makes me sad to see such a talented person not teaching anymore. ;__;

[IEatNubs6]

You make calculus your bitch.

[ram000z]

ur the best

[hanzun]

anyone know where is a video you find original graph from its derivative?

[cheesecakeman2005]

this is great

[hanahansol]

I learned and understood more in the first 5 minutes of your video than I did in the first 2 hours of my professor's lecture + extra explannation afterwards.

[Jokerie3]

This lesson doesn't make any sense to me .. I can't understand neither from my teacher nor from you :(

[AceAites]

@Jokerie3 If you don't understand this either, I'm afraid to say that you're not ready to take Calculus yet. :P Perhaps a lower level math class for now ? ;]

[Jokerie3]

@AceAites I got an A+ in calculus :) .. just lost few marks from this lesson.

[AceAites]

@Jokerie3 No sorry, but derivatives are one of the, I would like to say, three main components of Calculus. If you don't understand this level of simplicity [heck even my little sister in math explorations understood this] then you either are enrolled in an extremely easy Calculus class or you're lying. Seriously, it's the internet, anyone can say they have an A+ in calculus. But the fact that you don't understand derivatives proves that your A+ story isn't at all as it seems.

[Jokerie3]

@AceAites won't waste my time with you. But I did get an A =)

[0bsessionist]

You're better than my calculus professor! Thank you so much!! You're saving my grade!

[duttatrey]

What a usefull video!!! it'll really sort all my needs!!!!

Hey, BTW, can you give another video for the graph of f(x) from f'(x)???

[chioj36]

THANK YOU!!

[Ivory101]

i appreciate your videos :)



[Countrycon]

You are hands down better than any math teacher I've ever had.

[keithbt430888]

this makes graphing derivatives seem too easy, i hope the school you teach at really appreciates you. :)

[fakwater]

he must be Jesus

[EmilyDeibert]

You probably just saved my life for my calc test tomorrow! Keep up the good work!

[dyanjennica09]

@EmilyDeibert well unfortunately I already had my calculus test on this crap and I think I failed the sketching part D:

I should've found this sooner!!!

[MP265]

Thank you...im still having trouble with this, and i keep seeing it...and everytime i do, it bites me in the ankles!! Thank you so much for this video.

[mrmouktar]

thank you for you video I had a hard time getting the derivative of the graph of f(x).

[valkyrie034]

Thanks for the help, keep the videos rolling. First semester Calculus, and was having trouble with graphing them- couldn't wrap my brain around it, but I've got it now! 

[ashniqlove]

dude im like passing calculuscause of u!

[Billabong024]

i wish you lived in jersey. I would make you my tutor lol

[makelifeprettiie]

this helped me so much,

thank youu :)

[kieghacat]

you are a life saver!

[TheAlbania91]

thank you !!!!( in infinite ;))

[swoozer117]

Great Vid!

Thank You

[Seict]

now a sketching second derivatives math video plz?

[nl147852]

Very helpful thanks =]

[iamthefreakofnature]

srsly, you are way WAY better than my cal teacher

[lethaltimes]

how would you find the original graph from a derivative graph..i don't know how you would do reverse of what you did!

[patrickJMT]

@lethaltimes i will make a video of this in the morning; i am done for today : )

[lethaltimes]

@patrickJMT

thnx.....but we're moving so fast...we're already on double derivatives.....he gae us a double derivative...and wants us to find the 1st derivative and also the original!

:( my light bulb dimmed in class and during homework it just went out!

[jhl2011]

@patrickJMT so where is that video? i need that one.

[thaoxiong1]

@patrickJMT WHERE IS IT!? ^-^

[kieghacat]

@patrickJMT is that video up? I can't find it...

[alan48085]

@patrickJMT can u plz make a video on this

[alan48085]

@patrickJMT um can u please do this soon

[IndianSpore]

@lethaltimes You mean integration ? lol

[kiansamiei]

THANK YOU< THANK YOU< THANK YOU... very helpful...

[gauiutrada]

Thank you so much!!! My teacher skipped in class this part and now I'm having trouble with doing the hw. You just saved my life!!!!

[BlackDragonFairy]

Thank you very much! This helped a lot!

[sportswheels15]

you are the man, plain and simple

[readingMUNKY]

@patrickjmt

u r like the superman of the world of calculus!!!

dude.. this is awesum stuff n really easy to get!!!

i dunno how many times u ve helped me out with calculus.

keep up the gud wrk :)

ps: i aced my first calculus test cuz of you... koodos to you!

[patrickJMT]

@readingMUNKY glad you like the vids; congrats on the first test!!

[THEAEGHOST]

thanks. you just saved my life

[brgn9099]

At 3:29, how did you arrive at the estimate of m = -5?

[puckSHOCK]

I started Calculus a month ago, in that time, I think I've watched a majority of your calculus videos.

Thank you for saving me :)

[taylerrrsmiles]

duuuuuude, this SERRRRRIOUSLY helps. no joke, thank you for doing this! <3

[lawmanbaseball]

awesome set of videos. These videos are perfect for helping review for a test. Thanks for making these!!

[Pika163]

OH MY GOODNESS this was HEAVEN SENT!

[Santito13]

thanks for the help....appreciate it so much

[3125544830]

My Teacher even posted this video to let us watch it.

[jessdurr1980]

You are awesome...So much better than my College professor!! Keep up the good work!

[AmericaisRIGHT]

I understand most of it except for the first problem. Why did you plug in five? How did you come up with that number? Any help would be appreciated..

[rosepetals1002]

very helpful, thank you!! :-)

[patrickJMT]

@rosepetals1002 u r very welcome

[kyawkmin]

dear sir patrick thank alot for your vedio help me alot of understanding caculas

[BoneCrusher737]

savior

[jf713jf]

great video, but if your camera has the option, set your white balance, aperture/iris and shutter rate so that the camera doesn't keep auto-adjusting as you move your hands in front of it. its mildly distracting, but the information is great thanks for the help!

[rotate58]

I can't thank you enough, your fantastic explanation and teaching method helped me to understand what close to three hours of confusing instruction with my own teacher could not. Thank you!

[patrickJMT]

@rotate58 glad i was able to help make some sense of it. perhaps your instructor helped 'warm you up ' though : )

[JemieLife]

You're great for doing this stuff. dude you gotta monetize these videos more, and get more traffic and views coming to them. I can help you with it if you want. If theres one thing about me, I may suck at Calc and need to watch youtube vids, but im a genius when it comes to marketing =)

[turbocharged06]

thank you! my book didn't cover this and you know how calculus professors are...

[XgtkidX]

thanks so much i couldnt understand th book at all. you helped so much!

[fufu246]

wow, you're so extremely helpful. thank you!

[samybic]

Thanks for the video! Its so much clearer then when its been explained before.

I got a practice question where we're given the derivative graph and have to find f(x) graph.

I'm a little confused with what I do?? Do I just make the points where it cuts the x axis the turning points?, and where the derivative graph is increasing make it above the y axis and similarly where it is decreasing below the y axis??

Sorry, about the trouble.

[MrCaRTom]

i have a math test today in a few hours, been watching your videos for the stuff i had trouble with and since i went over them so much, that's the stuff i feel better about :) i hope i do good on the test..

[patrickJMT]

@MrCaRTom good luck. i hope it turns out well for you!

[sakaklovas]

Um... you just taught me in 15 minutes what I was struggling to learn for days...thank you.

[missleeeeeeee]

thank you SO much. this was a huge help!

[pinkfreesia]

please come to my school and be a cal instructor! wow! my prof didn't explain it step by step like u did but expects us to know how to do it ourselves;) thank you so much!!! now i feel like i can try these problems on my own<3

[CharmaineCXM]

thank you so much for doing this video=) it's exactly the thing i need before my math test in a couple of days time

[AlexandriaRegina]

Hey Patrick,

Thanks for taking the time to do this! I am a good math student but my teachers style just isn't clicking! Thanks SOOO much! Colleges everywhere need people with your style. I'm sick of professors skipping steps while teaching and professors not understanding the "why" rather then just the "how."

-Alexandria

[mattreese]

I've watched many of your videos, they are a huge help. Thanks for breaking it down into lemans terms for me.

[smokingun7]

greatvideo thx..keep teaching you do a good job

[walczm09]

big ap test tomorrow...thanks for helping with the loose ends!

[rohannesburg]

omg, i finally understand this!!, thank you for the awesome help!!, i never really understood what my teacher was telling me until now

[loveafghanpeace]

Oh thank you, i think i can pass tomorrow's test!!!!!!!

[guiyetine9]

muchas gracias! this was a big help!

[avalero16]

this helped so much...now i understand this better u should be math calculus teacher.....

[parisashnomore]

thank you thank you thank you............ I never forget how to solve this kind of problems for my whole life time

[Enrage75]

Wow, thank you very much. Keep up the great work <3

[puckett6391]

bro u def helped my out but could u do one with an asymptote involved with it please?

[xo3lastwords]

this is amazing. so much more helpful! thanks!

[engrgirl322]

You are so awesome!! I went from having no idea what I was doing and 14 minutes later I get it!!

[minimeg077]

This was fantastic. Thanks so much. I finally understand how to do this. Thanks :D