Difference Quotient

[@TheOrganicChemistryTutor]

Functions - Free Formula Sheet: bit.ly/3Ai8NZv Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/aZjEqYl-i65nmas

[@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%

[@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!

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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

[@kebam48]

@@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]

@@kebam48 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]

@@kebam48 i have a pre calc test today aswell good luck

[@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 😭

[@eddied4969]

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

[@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

[@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!

[@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!!

[@rammaddirala6857]

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

[@lurodriguez1]

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

[@chancet.3324]

i was going to say the same thing

[@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.

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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.

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

[@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!

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

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Thank you for saving my sanity during these trying times.

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this a BIG mood rn

[@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.

[@ShawnaTietje]

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!!

[@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!!!!

[@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!!

[@ChristopherRios-Morales-q4o]

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.

[@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.

[@YfromTokyo]

THE ORGANIC CHEMISTRY TUTOR, ALWAYS MY SAVIOR 🛐

[@lauracarolinejung803]

This is literally the perfect pace. Thanks, man!

[@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 😭

[@aidanliston5181]

this dude just dont miss

[@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.

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the only way to help him back is to watch the ads that pop out on his videos if you want to help him for his effort for posting here for free

[@boongi_ace]

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

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

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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.

[@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 :)

[@Traumereiki]

Watching this helps me alot than my math teacher

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

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

[@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!!!!!

[@lugiareborn356]

The last exercise was a lot of fun.

[@emmanuelsantiago9071]

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

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

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You're out here doing the lord's work

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

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[@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.

[@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...

[@goofusgoober]

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

[@monichan1000]

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

[@alexd6263]

I cannot stress how much this helped me cram for my test

[@lukesherlock925]

Thank you I spent hours looking for this!!!

[@absolute6422]

you deserve a spot in heaven

[@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.

[@aariahreid8892]

literally explained so well my teacher made it way more complicated

[@Kusagrass]

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

[@anon01001]

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

[@daniellehess2788]

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

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The most helpful video on the internet thank you!

[@giovannilattarulo9224]

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

[@hurgerburger.]

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

[@quentinm.williams9]

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

[@williejohnson5172]

Keep in mind he is solving the difference quotient. This is easy child's play. He is NOT finding the limit of the difference quotient as h approaches zero. That is the hard part because instructors create all kinds of fiction to justify that division by zero=h.

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

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

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JG swoops in again and saves the day.

[@nour3660]

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

[@lolz5288]

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

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You taught me when my teacher couldnt

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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.

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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 :)

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

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The first minute of this video explained this stuff better than my pre calc teacher 💀

[@hyshin9618]

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

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

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

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

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

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

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

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dude, you are a lifesaver, thank you

[@divergent_bowtie1066]

ended up getting a 47% on that quiz

[@thegreatjeezy8436]

You are a king of the highest order

[@nicoletz7119]

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

[@MatterinoTV]

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

[@rogeliorawlins3645]

This was very helpful. Thank you!

[@jamesastrab2470]

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

[@ShekinaKabala]

best explanation ever. even makes learning about this fun

[@tessa_xx4938]

@5:50 Why multiply by the conjugate? Aren't we meant to keep the root signs away from the denominator?

[@JohnJigsaw420]

Only take the root out of the denominator at the end. He didn't do so but you can take that extra step. If you don't use the conjugate, things get pretty tough. Once you use the conjugate it simplifies things nicely and you can simply the root to the numerator at the end.

[@mrivassnj]

@@JohnJigsaw420 I like that the conjugate was used BUT what happened to -f(x) in the difference quotient? He foiled ( root x+h minus root x) (root x+h plus root x) then I didnt see how -f(x) was incorporated.. does the conjugate eliminate it?

[@JohnJigsaw420]

@@mrivassnj -f(x) IS root x as defined in the beginning of the problem :)

[@DefinitelynotLeed]

This video is easier to understand than my professors lesson.

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

[@edwinfigueroa16]

thank you, you helped me pass business calc!

[@ahmedshukri7141]

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

[@anthonyyu7013]

Pretty similar to the Definition of the Derivative!

[@juliancardona3508]

Love it man!!! Better than my professor.

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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!

[@veronikayerina9844]

THIS WAS SO HELPFUL. THANK YOU!