How to Compute the Difference Quotient (f(x + h) - f(x))/h

[@axelrenderos942]

Just 3 minutes to teach something that took 1 week to my professor, thank you so much from central America!

[@TheMathSorcerer]

You are welcome!

[@CannedPsycho-]

These free videos are a lot more helpful than a 100$+ textbook

[@TheMathSorcerer]

:)

[@cappyy8597]

frfr

[@yourdedcat-qr7ln]

@@cappyy8597 I'm watching alot of these to strong travels my lad

[@lukalux4127]

I learned more in three and a half minutes than during my Professor's two hour lecture

[@Muwddy]

your problem tbh professor explain but at the level your supposed to comprehend at

[@xyve6129]

@@Muwddy then why are you here if the professor does the explaining "at the level your supposed to comprehend at" and how its "your problem"? what a useless and snarky comment lmao. looks like you cant comprehend what your professor says either

[@xyve6129]

​@@Muwddythen what are you doing here if the professor explains "at the level your supposed to comprehend at"?

[@boogam]

@@Muwddykids named having bad professors:

[@estaault2450]

Thank you SO much. My math teacher isn’t bad, but it scares me so much when I have homework that he has yet to explain in how to solve, and this was a real life saver. THANK YOU!!!

[@TheMathSorcerer]

awesome so glad it helped:)

[@peterwoodward3085]

every person in a math class ever ^

[@infernalspy0176]

You’ve helped me more in a 3min video than a 50min lecture. Tysm

[@TheMathSorcerer]

👍

[@shreetree3207]

This was so helpful! I am taking a pre calculus class right now and our professor introduced this and I was completely lost and scared because he mentioned that this is a foundational concept of calculus, but your video was super informative and crisp! Thanks again!

[@Ashkasky_7]

Ngl I didn’t know at first what this was cause my cousin needed help and I decided to watch this to understand to help her and wow this help a lot. Understood it right away. Thank you

[@Tyrizzle505]

Dude thank you SO MUCH. My class/book made me feel like I needed to drop out of college cause I wasnt smart enough to finish. Then this video helped me understand the unit in less than 5 min. Incredible

[@TheMathSorcerer]

Awesome!!

[@superaussie1]

thanks mate you are the only bloke that could teach me how to do it

[@mikeytime564]

online school is making it easier to sleep through my classes and completely miss them. you are my saving grace

[@TheMathSorcerer]

Lol

[@lt.papufranku7785]

Can't really thank you enough for this explanation, I'm really glad I stumbled into your channel :)

[@kellsbellsgar4]

You really out here doing God’s work 😌! Thank you!

[@bubby9307]

Wow, how simple. When I did it before this I was over complicating it lol

[@aldo4979]

literally months of teaching the teacher to end up learning it in 3 minutes thank you very much.

[@CorisWorld404]

I am so thankful that you explained this clearly and concisely. Thank you.

[@TheMathSorcerer]

I am so happy it helped someone:)

[@djjdjsieurhfhdj]

Thank you so much. It really shouldn't be as hard to explain as some professors make it seem.

[@TheMathSorcerer]

You are welcome!

[@nitinvenkat5695]

It was so tough I thought so, but not now, thanks !

[@jaylinkemp419]

Oh my gosh. Thank you! You're video is the highlight of my day right now.

[@TheMathSorcerer]

np!

[@nafisraz7109]

I love you so much man!!!! this truly made me understand better

[@Mav0011]

Straight to the point and explained perfectly. Thank you sir.

[@kooskith]

thank you so much. my professor gave us this homework but never went over it in class

[@averagejoel4830]

Thank you for the help. I was having a hard time plugging stuff into what goes where, but you made it a bit easier to understand.

[@TheMathSorcerer]

glad it helped!

[@ram7y]

THANK YOU SO MUCH SO MUCH

[@nunya4436]

Straight and to the point. Thank you so much

[@sammrah2195]

Thank You!! You explained this so nicely!!!

[@TheMathSorcerer]

👍

[@junioreli]

This helped me learn the concept, and I got a 100% on that hw question just now, ty!

[@mrluistito69]

This is more than what my highschool teacher taught me in 2 weeks of meets.

[@TheMathSorcerer]

happy it helped!

[@mrluistito69]

@@TheMathSorcerer my teacher just dropped me from the class. On my way to regular college algebra. Half the class got dropped for failing her stupid test. I'll continue to learn the subject on my own. I'll stick around to watch the rest of your videos bro!

[@TheMathSorcerer]

Aww so sorry

[@audreyatwood-dounay9019]

THANK YOU WONDERFUL HUMAN! im gonna pass my test because of this!

[@elian5288]

I get the process and all, but if you do the short cut (power rule right?) all you get is 2x+4, i was really wondering how the h^2 disappeared and still wondering how this formula ends up giving you an H. I do remember reading somewhere H was equal to 0 but not sure, only way this would make sense

[@crahseryt8997]

If you were referring to the part in yellow, he factored out an h from each term. h^2 became h because he factored out an h. But I'm sure you've figured it out after 11 months lmao

[@CynLo_xo]

This helped me a lot! I was just wondering the same about the final part when he factored out the h, was wondering what happened to the last couple terms w/ h!

[@billtruttschel]

Worth noting: a difference quotient is an expression which gives you the slope of a secant line which cuts through the graph of the function f(x).

[@mowamuluka4500]

Dude you explained that so easy thank you

[@TheShrishtySharma]

Tq so much may Universe shower u wd happiness and wealth

[@TheMathSorcerer]

Same to you!

[@alejandracruz1245]

Super easy to understand! I get it now. Thank you!

[@TheMathSorcerer]

Excellent!

[@lauravaleria10102]

This really helped me with my work!!!!!!!

[@abenezerhabeshawi1089]

you saved me hours. Thanks

[@Amb3rjack]

I take it, then, that "h" is what is normally "delta x" when showing what we are doing graphically i.e. the point x plus a little bit more so that when we draw a line between the two points we get a slope.

[@CynLo_xo]

Why do professors make learning math so difficult! Thanks btw!

[@StealShotRemy]

This helped a ton. Thanks!

[@TheMathSorcerer]

np!

[@xLegitxNadezZ]

Very clear, thank you!

[@krishnapugosa1393]

I finally got the answer after watching this ❤ thank you so much

[@TheMathSorcerer]

You're welcome 😊

[@lh6029]

Thank you so much. You made my day!

[@TheMathSorcerer]

😄

[@clienethjanedumanono524]

It's helpful for me, now I can check it out my answer, if it's correct or wrong. Thanks for this video

[@TediBearProductions]

So for most quadratic equations ax^2+bx+c, their difference quotient would be 2ax+ah+b?

[@maximoline9068]

thank you so much this was the most helpful vid ever

[@TheMathSorcerer]

You are very welcome !

[@TheMathSorcerer]

[@renesteegers9858]

im joining the math sorcerer army

[@TheMathSorcerer]

:)

[@gianq5948]

thank you so much! finally understood it!!

[@TheMathSorcerer]

yay!!!!!!

[@mydaylightstar]

It’s been years since I’ve seen this but I remember the pain of writing it out. It’s not hard but one mistake is super annoying

[@Victoria-rq3ss]

Oh em gee tysm! Your video was very very helpful!

[@TheMathSorcerer]

You are welcome😃

[@katyameowmeow]

I’m in college and my professor has taken quite the hands off approach so THANKS

[@PrabindraKushwaha]

Thank you for teach me❤❤

[@zyndylanto4201]

so helpful, thank you for this 💛

[@Revan1800]

thanks I needed this and i was confuse as zoom class makes it harder to learn

[@TheMathSorcerer]

You are very welcome!

[@burntjelly4536]

Hey what math level would this be used for ???

[@kefpull6676]

power rule is obviously easier but I needed this anyways

[@itinerantscientist8502]

Such an amazing stuff! Thank You Sir!

[@miahughes3700]

what about if f(x) is 11/x or the squareroot of 3x

[@arinze3668]

very helpful, just used this for a university question

[@ephraimb8671]

Absolute legend

[@mori2695]

for an equation that has a number (2) before the x^2 would you square the 2x or would it be x^+ 4xh+h^2?

[@TheMathSorcerer]

you would have to distribute it , so like if it was 2x^2 + 3x + 5 , the beginning would be [2(x + h)^2 + 3(x + h) + 5 - (2x^2 + 3x + 5)]/h , then the 2(x + h)^2 would be 2(x + h)^2 2(x^2 + 2xh + h^2) 2x^2 + 4xh + 2h^2

[@risovideos5457]

thanks. you did well in helping me. great vid you live up to your name.

[@TheMathSorcerer]

Thanks😀

[@Saucehero29]

You saved my college life

[@TheMathSorcerer]

you are welcome:)

[@derpface9624]

Thank you

[@danielvelsor5693]

how are you able to cancel out the x's by dividing it by h?

[@peepeepoopoovdbhxvbcc6683]

Neat little fact: this is the derivative of the equation + h! Lots of the time there’s a limit for h->0 thrown on the back end, so the h ends up getting removed, leaving you with simply just the derivative.

[@ibau2814]

Can someone explain the shortcut he’s talking about at 1:35? How did he get 2xh?

[@Aetherakabane]

Formula of (a+b)^2=a^2+b^2+2ab

[@rileysattler8377]

thank you sir! life saver

[@TheMathSorcerer]

You are welcome!

[@marim1025]

WOW tysm! you have no idea

[@skymyu]

THANK YOU SO MUCH I LOVE YOU

[@cocoajunkie]

Really helped thanks!

[@TheMathSorcerer]

Great!!

[@saaadalshmari4273]

Thank u thank u thank u , your video made my day

[@natesenft5376]

thank god i was not paying attention in algebra 2 today

[@willsolomon6321]

You the goat

[@sydney12345-r]

Wow. Thank you so much.

[@TheMathSorcerer]

You are welcome!

[@hythsmskater]

I finally figured it out!Thank you

[@TheMathSorcerer]

awesome!!

[@thedude4619]

My teacher didn't bother to explain how to do this. Thanks!

[@TheMathSorcerer]

Welcome! Lebowski rocks!

[@joaquinporras3152]

Much appreciated G

[@bradfnx5317]

How would you compute (f(x+h)-f(1/h))/h for a function such as 1/x?

[@TheMathSorcerer]

full solution(it has an extra step at the end since it's a calculus problem), but this is it, kzbin.info/www/bejne/p6CwoIFulpyhock

[@bradfnx5317]

@@TheMathSorcerer THANK YOU

[@CrazyAlaskanCoDShot]

Wow...thanks!

[@TheMathSorcerer]

np:)

[@archaic1026]

I don't understand where that 2XH came from though. There's nothing in the steps above it to explain how it just appears like that.

[@miikkafisher8565]

Thank you very much.

[@computersandcoffee]

Thank you! So helpful!

[@charles-griffin]

Thanks, thought of this all wrong

[@TheMathSorcerer]

np, very happy it helped someone:)

[@daniecolljr2067]

amazing bro thank you

[@ianb7396]

God bless you

[@TheMathSorcerer]

thx:)

[@TU-qc5xr]

is the difference quotient and the limit method the same thing>?

[@TheMathSorcerer]

When you take the limit of the difference quotient, you get the derivative:)

[@TU-qc5xr]

@@TheMathSorcerer if I could like this more than once I would! Thank you! I have been asking everyone at university this for 7 days! No body can tell me?... and is there a specific name for the actual terms in the difference quotient? The (x-h) part? Specifically?

[@TU-qc5xr]

@@TheMathSorcerer 👍 like

[@layan3571]

You’re a genius

[@noahmaldonado5461]

Lifesaver right here

[@techqno2218]

i love u bro 🙏🙏🙏

[@complique]

Thank you the math sorcerer

[@inemesitibanga]

so what if the number in the middle is negative? what do I do

[@polarshorts3358]

did you find out? reboot

[@ariela2486]

I’m watching this video five minutes before my test😀

[@TheMathSorcerer]

good luck!

[@SkilledApple]

I LOVE YOU.

[@fardowsagedi607]

Wait I’m confused you put +7 instead of -7 when you subtracted f(x) from f(x+h). And if you didn’t make that mistake then would the two minus 7’s cancel or not.

[@orionionion]

That wasn’t a mistake. He distributed the -1 to the -7 in the brackets. -1 times -7 is positive 7. Also he mentioned how anything that doesn’t have an h SHOULD cancel out.

[@bubbles2001a]

Just saved my life

[@7carol]

THANK YOU

[@arnielizaacuna1164]

what if the problem given is g(x) should I change f into g? please notice me

[@TheMathSorcerer]

Ya just change f to g yup

[@arnielizaacuna1164]

@@TheMathSorcerer thank you!!💖

[@siyayas9134]

Sir Thannk you very much ... But i need to know how to do this when limite (h) >0 and when limit (h)

[@TarabinaBirikuroJohnson]

Thanks a ton

[@salemgomez953]

Thank you !