Difference Quotient

This precalculus video tutorial provides a basic introduction into the difference quotient. It explains how to find the difference quotient of a function with fractions and how to find the difference quotient with square roots. This video contains plenty of examples and practice problems.
Introduction to Functions:
• Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Function Operations:
• Function Operations
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
_____________________________________
Relations and Functions:
• Relations and Function...
Domain and Range From a Graph:
• Domain and Range of a ...
How To Find The Domain of a Function:
• How To Find The Domain...
Average Rate of Change of a Function:
• Average Rate of Change...
The Difference Quotient of a Function:
• Difference Quotient
_____________________________________
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
Composite Functions:
• Composite Functions
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Composite Functions - Data Table:
• How To Evaluate Compos...
Comp. of 3 Functions - Data Table:
• Composition of Three F...
Decomposing Functions:
• Decomposing Functions ...
_________________________________
Introduction to Inverse Functions:
• Introduction to Invers...
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - 1 to 1 Functions:
• Horizontal Line Test a...
Vertical Line Test:
• Vertical Line Test
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite and Inverse Functions:
• Composite Functions an...
__________________________________
Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/3gaxVHVI4cI/v-deo.html

[@abehong4718]

Honestly, i am 31 years old and returning to school after almost 10 years later, i have no idea what my professor is say... but you are a big help to me. thank you so much

[@aaroncamacho8537]

Wow I am literally in the same situation. Hope all went well!

[@CaymanGaming]

way to go, never too late to get an education!

[@stefan.vincent]

Same here man! It feels pretty nostalgic but also terrifying. Good luck to you and @Aaron Camacho, keep pushing yourselves!

[@confusedchild2561]

Yall are awesome. Hope everything turned out well!!

[@Etk333]

Literally in the same boat rn... Not to mention started class late cus my fuckin school has "Spring Semester " which we are in January ....

[@S3ven4]

this is so monstrously and unreasonably difficult for no reason

[@krabby2429]

all you have to do is memorize the formula

[@S3ven4]

@@krabby2429 I’m in Calculus now and I still feel the same way

[@kkcraven]

@@S3ven4 I'm taking calc 1 and I'm struggling. I have a test on Tuesday and I'm not the most confident, but I've been putting in a lot of hours

[@S3ven4]

@@kkcraven yeah I had my first test on Wednesday and I’m positive I got destroyed. I’m trying to go back to the calculus basics cause I’m sure I missed something

[@awadbuisir]

@@kkcraven i have a pre calc test today aswell good luck

[@GSU_Panther_Nation]

You are a true tutor in STEM. Without you, then I would have failed college algebra, as you truly helped me go from a 60% on an exam to an 80%

[@taylorstrickland1041]

this was so so good. these videos make me really angry about paying for college. the duration on this video is what we cover in an entire class period

[@miniprepper]

Thank you, you're saving my behind in precal right now haha.

[@armablitz0618]

Aaron McGill nice

[@tannerosborn2666]

@Aaron McGill props bro

[@kefpull6676]

and in calculus too, eh?

[@trickwisp3689]

Lol same

[@jiwoosupremacy9481]

SAME I’m in precalc and I’m studying for a quiz I have tomorrow 😭

[@eamydmgl9086]

I do understand this better than my professor's teachings

[@hyuvii4857]

i understand jackshlt from my teacher's lessons b/c she goes way too fast and all my classmates are rlly smart... man teachers should start playing these videos in class and then teach us the topic...

[@michellecastro4010]

Marcial, Jan Terri omg same 😂

[@abyss2620]

my damn professor teaches us shit for 50 minutes thats so easy. then the homework has nothing to do with what he spent the entire class period going over..... im paying how much for this shit??????

[@mikecheng8291]

@@hyuvii4857 omg I can relate to this so much!

[@rcole]

agree

[@lurodriguez1]

Very good examples. The last example helped me tremendously. Thank you.

[@chancet.3324]

i was going to say the same thing

[@matthew7307]

this guy carries me through math so hard.

[@JBoney-bi8lh]

Thank you for being so thorough and showing us a very wide range of examples!

[@noxlupa2996]

I’m not kidding, I would fail math without these 😂👏👏👏 thank you so much!!!

[@rammaddirala6857]

Proffesors show this as an impossibly hard concept, but this man shows it as a breeze.

[@eddied4969]

i find it funny that everyone complains about their professors. They have to teach the idea and why it works. Most UA-cam videos have great examples that cement the ideas in our head. I like both my professors and the examples provided by UA-cam content providers. Thanks for all the work you provide @The organic Chemistry Tutor.

[@RealSugam]

Don't even recall doing this in precalc but starting calc after so many years, this is a real time saver. Thanks for the great video's.

[@Loco-Coco09]

Thank you for saving my sanity during these trying times.

[@arieannaescobedo4458]

this a BIG mood rn

[@nararabbit1]

This ended up being a really helpful algebra review as well. I hadn't even heard of conjugate radicals when it came to simplifying expressions/fractions.

[@jenniferyan7188]

I know this was posted awhile ago, but I haven't taken a math class in 25 years. I'm going back to college and they have me in an College Algebra and Trig math class. If I had just graduated high school, I'd probably have a better idea of what they are talking about but I didn't so I don't. When they explain things, they skip steps because they think I know what I'm doing. So, thank you thank you for posting these videos. They are a tremendous amount of help!!

[@cezanaroussel8980]

the students @ OCC appreciate your efforts as we are rushing to get through business calculus over summer within a 6 week class instead of the traditional 16 weeks. plenty of thanks ahead!

[@giannacamacho5956]

This has helped me immensely! I've studied this in two different classes and was confused but less than 5 mins into your video it all clicked.
Thank you so much!!!!

[@cristalweller9333]

Thank YOU! I understood how to do this except I could not figure out how to do them when the question contained fractions such as 6/x. Thankfully your video helped me figure it out and I aced my homework. Hopefully, I will remember for the test :)

[@gabrielaavila8256]

I do not know who you are but I LOVE YOU !! Literally your explanations are so simple and easy to understand. thank you so much.

[@Copppopop]

Bro without you I would have failed Math Methods, thank you so much man, you're a lifesaver

[@jocetonylnavarro1070]

RESPECT! You're like an artist painting the horrors of life in a black canvas. Thanks man

[@sipofshandy]

I am currently in my junior year of highschool and I decided it would be a good idea to skip precalc and dive straight into college algebra. Good thing these vids taught me the stuff I missed from precalc.

[@lauracarolinejung803]

This is literally the perfect pace. Thanks, man!

[@ndifrekedominic4208]

This was so helpful.. I could confidently handle my assignments after watching your video and I understand this topic much better now. Thank you once again.

[@therealfrickenchicken]

Thank u so much, I hope this helps me pass my Pre-Calculus test

[@scoobydoo5575]

Bro my teacher explained it and I was so confused but this is wayyyyy easier than she explained it. Thank you for saving my final score 😭

[@jmbifulco9954]

I wish I could like this video more than once. You are a master at teaching.!

[@duncanakaspades]

My calc 1 textbook has nothing on this man, thank you for making these. Every time I find myself lost in the curriculum provided by my college, this man saves the day.

[@user-qu4ym5vq2u]

I want to thank you for demonstrating how easy it is to use this equation. I used videos, my calculus book, and teacher's notes to no avail. THIS was the only logical video that broke it down simply, you are amazing!!

[@carlavallejos5267]

i'm confussed what i'm doing but i got the answer so it's alright

[@bearman_1826]

Lets get this madlad to a million!

[@stealth1384]

2 years later and now this king is almost at 4 million.

[@bearman_1826]

@@stealth1384 what a legend.

[@YfromTokyo]

THE ORGANIC CHEMISTRY TUTOR, ALWAYS MY SAVIOR 🛐

[@Traumereiki]

Watching this helps me alot than my math teacher

[@emmanuelsantiago9071]

I love youre explanation my teacher didn't explain that to us so thank you so much

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for showing How to use the Difference Quotient in Precalculus. The algebraic skills are very helpful in Precalculus and beyond. All levels of mathematics use Algebra.

[@LindsayPuggleGirl]

god bless u!! i'm doing summer work for precalc rn and i had NO clue what a difference quotient was before this video. now i get it!!

[@geronimocostapeuser4178]

who knew mark wahlberg could be such a good teacher, thanks marky mark

[@user-rz8lk1vh7k]

Thank you so much for explaining each step on the 1/x problem, the reasons for why we multiplied the complex fraction by the common denominator were very insightful.

[@GhostLink92]

This makes way more sense than either my book or my professor. I thought taking college algebra would be easy. Not the case when you haven't done algebra in over 10 years...

[@boongi_ace]

You just explained in 60 seconds what my teacher couldn't in 60 minutes

[@monichan1000]

Some people make this seem harder than it is, you simplified it for me thanks :)

[@lukesherlock925]

Thank you I spent hours looking for this!!!

[@Kusagrass]

You quickly brushed over the conjugate rule. People often forget that by pre-calc.

[@rosariomauro3855]

In 13 minutes you solved my problem 💆🏻‍♂️
Big appretiate from italy👍🏻

[@dcf8978]

After sitting through my professors lecture on this I was thoroughly convinced it was some sort of voodoo magic. Turns out it is not! Thanks for the help.

[@rosierosees]

You're literally better than what is written in the book

[@logan3645]

The most helpful video on the internet thank you!

[@michellecastro4010]

This math video was really helpful thank you so much 👏🏽😊😊

[@AustinIsOutdoors]

Why did my school need to make 3 12 minute videos over this where I used 4 pages of notebook paper writing down steps just to be left confused? I just learned more from this one video than that. Thank you!!!!!

[@hurgerburger.]

Thank so so much man! I'm in Pre-calculus in 11th grade and this really helped me catch up after summer!

[@goofusgoober]

Omg thank you so much my professor gave me work over this without even explaining it first

[@giovannilattarulo9224]

thank you so much all my teachers complicate things and you make everything so simple

[@Drcarolin8006]

Man you helped me out so much right now, keep up the good work!!!!!

[@lolz5288]

Thank you so much! You explained this much more in-depth than my teacher and now I understand.

[@quentinm.williams9]

this concept is coming in my business calc class this week and I am just getting prepared for it. whew

[@aariahreid8892]

literally explained so well my teacher made it way more complicated

[@fawnrosie1109]

You taught me when my teacher couldnt

[@anon01001]

The best teacher that i've seen so far!!!

[@MatterinoHS]

Holy crap thank you for this video. I was struggling so hard with the problem: f(x) = 2x/x+3

[@buggalo]

thank you SO MUCH for this. I am struggling with precalc, and what with covid being a thing it is harder to find good math resources. You simplified it enough that I caught on after just 2 minutes, where in class I was sitting there for a good hour and a half not knowing what the hell was happening.

[@mussietsegay7125]

I love the way of your teaching and providing different examples......thanks

[@abirmahmood7096]

Thanks! These videos are what's making me do good in my math class

[@divergent_bowtie1066]

dude, you are a lifesaver, thank you

[@divergent_bowtie1066]

ended up getting a 47% on that quiz

[@aidanliston5181]

this dude just dont miss

[@edwinfigueroa16]

thank you, you helped me pass business calc!

[@thegreatjeezy8436]

You are a king of the highest order

[@leachy114]

My guy you are the absolute goat. god bless you

[@gregotterstein6773]

That was a pretty good algebra review! You picked some good ones

[@nicoletz7119]

Thank you for this video,it's helped me to understand and how to solve the difference quotient.

[@shadowkokufu9178]

You are a life saver! Thank you so much for doing all these videos, especially the physics ones.
I swear I'd be failing hardcore without your videos. Thanks for your help/guidance :)

[@ShekinaKabala]

best explanation ever. even makes learning about this fun

[@nour3660]

I really didn't understand what all this means in class, but you have explained it perfectly

[@mariemelsobky5201]

You are the best tutor I have ever seen. Your videos help me a lot. Thank you so much :)

[@rogeliorawlins3645]

This was very helpful. Thank you!

[@adairmacias4824]

I had no idea how to do this before. I take 100% online and teaching yourself this is terrible. You made it so easy

[@FF-js8dv]

Your are going to be the saver of my grates.😀😀😀

[@shahzadparveiz2551]

Thanks for your help in this video

[@gracelove856]

Men u are jus the best
Like the way he teaches is jus top notch thanks bro

[@n_7458]

You are a godsend

[@absolute6422]

you deserve a spot in heaven

[@jessejames1520]

Best math videos ever

[@user-yy6jm6my6e]

❤❤ The way of you telling just amazing ❤❤

[@hyshin9618]

Thank you, I zoned out really bad during math class and I am doing the test review right now lol.

[@Bananan-c5x]

Way to go🖤🖤🖤
This class is world class 🖤🖤🖤

[@jamesastrab2470]

Thank you so much! I finally get it!! 😊

[@focusonme7616]

Thank you baby,your a life saver

[@kime394]

You are an amazing teacher thank you for the videos.

[@daniellehess2788]

Organic chemistry is not my tutor, he is my teacher and one true love.

[@justafrog9054]

JG swoops in again and saves the day.

[@nat74bgable]

Thank you, Thank you, Thank you 😊

[@ahmedshukri7141]

Very impressive explanation, what program do u use to write???

[@nadam35]

thank you so much for posting this video, it helped me out of a jam!

[@juliancardona3508]

Love it man!!!
Better than my professor.

[@finiatfr1115]

Its funny how this is for free. If Im having trouble on an equation, or system in a whole, I'll just look it up on this channel and its there, FOR FREE!

[@lizcorbett2587]

You're out here doing the lord's work

[@loganm4356]

You’re a life saver

[@AkshaySKumar-cn8iw]

I’m not even in organic chemistry but these tutorials help me a lot in college algebra

[@honeypearlbernardo4540]

This is really helping me a lot with my first year on CE🥺