Slope and Equation of Normal & Tangent Line of Curve at Given Point - Calculus Function & Graphs

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Derivative Applications - Formula Sheet: bit.ly/4eV6r1b Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk

[@Megadone]

I always rely on you in the stead of my lecturer. My guy indeed 👏🏽🌼

[@xxxdejvi6921]

I'm paying $1000+ for a class with a professor that sucks when this guy is out here teaching this for free...glad for all these videos!!!

[@kobzih7072]

Ohh believe it or not my university gives me money to study 🙃

[@nicklh186]

@@kobzih7072 so does mine! it's for a stem tutoring program and we get a stipend twice a semester.

[@sarakafka6737]

I'm paying $1896 PER credit. Yet here I am on youtube...

[@DoctorSmallz]

FACTS MAN

[@mr.ralphn]

@@sarakafka6737 same here

[@Propofol001]

*ad before this very video lmfao* WHAT? STILL SEARCHING KZbin FOR MATH HELP? ARE THE VIDEOS FROM 2006 REAAALLY HELPING? yes... yes they are along with this channel! you're the reason I'm gonna go to med school someday !!!!

[@AbdullahAlyasiri]

A very under-rated comment!!!

[@ReverseUpended]

omfg ikr???????

[@yeh.80]

lol ikr maths doesn't change that much lol

[@Propofol001]

Just saw these replies haha thanks guys !

[@zeynep5085]

@@Propofol001 are you going to med school now I m just wondering

[@dazzlingstar315]

The Organic Chemistry Tutor, which mathematics question can I solve without you? You are a blessing sent to me directly from heaven.

[@joeinc1236]

Any 2024 victims of Calc?

[@Rook02]

My professor literally just pointed to a page from a book (made by a professor from 2008 of the same university, which is also full of typos) and told us to study it for a quiz 🙃. Luckily this god-like being exists 😌

[@kyleodivilas5958]

I am.

[@federicomontemayor3492]

yup finals is in two days and Im just trying to do the Review

[@cirrwinbaronganaquino6224]

hi HAHAHA!

[@isk3804]

I love calculus, it is the best time and effort saving thing especially when you have to deal with thermodynamics, lol!

[@cheeseburgerlegstudios1839]

Yes the videos from 2006 are helping

[@ubaidullahabrahams240]

I got the exact same AD🤣🤣🤣

[@ceruleanoxia]

Well, technically, this video is from 2016, so that ad sux

[@casie6609]

Video was posted in 2016, just so you know. 😁

[@moniquecady4081]

HAHAHAHAHAHAHHA i was about to comment this

[@pravarsinghdadhwal6308]

yes my boi got the same ad by STUDYPUG YEET

[@clementmwamba9947]

During time of COVID 19,you have really helped because online classes have been so hard but because of your videos atleast we are doing something to favour us. May God abundantly bless you Mr. Organic chemistry

[@smalliver365]

I agree with you sir

[@SohaylaShawer]

I swear I learned everything in clac 30 from you! I am in an online course, they put videos on the site, but I don't understand anything from them. I currently have a 96% in the class from just watching your videos. Oh, I only have the final left, it's in 2 days, pray for me, people!! Also thank you so much Organic Chemistry Tutor!!!!

[@aminaakhtar2772]

Hello.. I will grateful if you help me to learn the slopes

[@Reliccontent]

He is Singled handedly carrying the education system💀 he puts thousand of teachers to shame

[@christinejoybagasala8692]

i love this comment

[@epikbaconb9780]

Your profile is the part where jogo is about to get cooked, grilled, dip fried, barbequed, toast, microwave, oven and air fried☠️

[@ashishivhare205]

Its all about the quality of the product you're getting in the mean time. While people pay more than 100$ for big institutions and coaching, here we are getting this content for free. Thank you so much.

[@Justkepswimin846]

you just taught me a simple step (somewhere in the middle) that i’ve been trying to understand for weeks in less than five minutes. thank you

[@redphoenix2391]

This dude been helping me throughout my mathematical subjects. I Thank you so much that you deserve all the tuition fees 🥲

[@kasiorap]

and just like that 3 years of calculus make sense

[@DoctorSmallz]

uhy8uh

[@Ryuusei924]

watching this video had it click in my head how to solve a simple math problem i've been spending DAYS on. thanks so much!

[@satvikaputcha]

That was very helpful. I've sat through this chapter several times but it was of no use! Explaining in in 30 minutes, in a way that was perfect for me is really a blessing to me! Thanks👍

[@jehanmallari3185]

I'm 11th grader and is dying at a young age because Calculus is killing me... And Chemistry, too! T_T This is very helpful. I'm glad I found your channel. Thank you~!

[@cryinglemons58]

are you in college and if you are in which one

[@safsaf186]

omg the same as me in grad 11 and chemis and math omg is killing meT_T

[@38Fanda]

educational institutions are capitalistic cancer

[@itzzdynamo1655]

Its 2021, what happened to you?

[@SasukeUchiha-jb2ve]

I am only 9th grade and studying Calculus

[@dylan-dm4zc]

how this guy have a video for every maths question ever

[@DoctorSmallz]

YEA

[@Yon2222]

That's the only not answered question ,😊

[@gameguardianmarvel4404]

10/10 recommended due to my tutor also giving me this type of videos and he said to me that "This tutor can teach better than most of the teachers right now"

[@kadraabdoulkader8033]

thank you sooooooooooooooooooooooooo much sir,i can't thank you enough . you saved my life multiple times. if there is fan meeting i will definitely attend . I owe you my high school diploma !!!!!!!!!!!!!!!!!!!

[@isk3804]

Thank you for explaining the tangent and the normal line equations in every aspect and solving ways!

[@jasonpollard5889]

This video is a godsend, teaches way better than any professor.

[@naya_gpl]

I learned so much more from this video than what my textbook taught me (following a distance education calculus class)

[@stigenbeat568]

katara

[@naya_gpl]

@@stigenbeat568 yess!

[@cheemdd4104]

Your channel is so helpful! What seemed so hard to me is now easy to understand, thank you!

[@eyosiasgoitom3210]

Man! You are one of the best teachers I have ever seen.

[@blasian1776]

I'm so sad, why did 8 minutes of this teach me more then a 50 minute lecture did...? Thank you so much holy hell... This Math class has been hell and you've made it so much easier to understand... Gonna finish the rest of the video now.

[@kazzkerr2556]

This totally alleviated midterm stress... thank you

[@donutcat870]

Thank you so much, I was searching for this all the time and this was the only helpful video!

[@Tierisal]

God bless you and your knowledge of the normal line. You just saved me like valuable points on a homework assignment, thank you!

[@color1920]

my pre-calculus class doesn't allow us to use derivatives, so I'm stuck using limits for now. Thanks for the help. Understood it in the first 2 minutes of the limits section.

[@treasure7581]

first week of uni our prof dived right into derivatives and limits i have fifteen pages of calc homework due monday and i’m barely starting, thank u oct i’m finally better understanding the lim h->0 and x->a

[@mukulechilalire7145]

Not all hero's wear capes indeed!! I'd be flanking my advanced maths if it weren't for you. Thanks

[@eri4232]

I watched one example from you and was able to solve flawlessly thank you so much

[@itsisha9762]

You're the best teacher ever I'm not even kidding

[@itsnechelle]

24:58 normal line

[@woogodgood]

I got midterm in 4 hours and watching this masterpiece to get prepared. W channel

[@LaLaBrave]

You saved me 3 hours of crying into a text book Youre a blessing to calc students everywhere

[@farahalyahya1026]

you're the best teacher alive!

[@hyejunssi3052]

I LOVE YOU, SIR! YOU'RE THE BEST! NOW I CAN ANSWER MY HOMEWORK ABOUT THIS.

[@akirayuripadilla451]

Best virtual teacher goes to you 🏆 🥳 congrats 😂🎉🎊🎈 lmao yay

[@troypie7020]

The video explains how to find the slope and equation of the tangent line at a given point using derivatives and limits in calculus. It covers finding derivatives of functions, calculating slopes, and writing equations of tangent and normal lines. Examples and visualizations are provided to aid understanding. Key moments: 00:01 Learn to find the slope of the tangent line at a point using derivatives and the equation of the tangent line. Understand the importance of derivatives and limits in calculus. -Understanding derivatives and their application in finding slopes of tangent lines. Derivatives of monomials and constants. Derivative of a constant is always zero. -Finding the slope of the tangent line at a specific point. Using the derivative function to calculate the slope. Determining the equation of the tangent line using the slope and a point. 06:31 Understanding derivatives as functions and using limits to find the slope of a tangent line are crucial in calculus. Simplifying expressions through limits helps determine the slope of the tangent line accurately. -Derivatives as functions and using limits to find the slope of a tangent line are fundamental concepts in calculus. -Demonstrating how to find the equation of a tangent line and simplify expressions to determine the slope of the tangent line accurately. 14:04 Factoring an expression involves identifying the GCF and applying the difference of squares method. Finding the slope of a tangent line can be done using limits or the average rate of change. -Factoring involves identifying the GCF and applying the difference of squares method to simplify expressions. -Finding the slope of a tangent line can be achieved using limits by substituting values and calculating the derivative. 20:43 The average rate of change approaches the instantaneous rate of change as the difference between two points decreases, resulting in the secant line's slope closely resembling the tangent line's slope. -Understanding how the average rate of change converges to the instantaneous rate of change as the difference between two points decreases. -Calculating the slope of the tangent line using the average rate of change and its approximation to the instantaneous rate of change. 27:56 To find the equation of the normal line, replace the slope with its reciprocal and solve for the y-intercept. The slope of the tangent line can be found by evaluating the derivative at a given point. -Calculating the slope of the normal line involves replacing the slope with its reciprocal and solving for the y-intercept using the given point. -To find the slope of the tangent line at a specific point, evaluate the derivative of the function at that point to determine the slope.

[@heinkenival4078]

Had this guy as my professor at Baruch. It's exactly how you'd imagine it'd be

[@amoscity7920]

I'm not the type that comment on KZbin videos, but I must say "GOD BLESS YOU".

[@Kier_but_who_cares]

sir, did you know how happy i am when i search up math videos i wanna learn and you videos popped up?

[@akshanshray1145]

Whenever I want to learn calculus , I always come to this channel and that of Eddie woo. 😊

[@reapersnightcore1866]

Thank you so much this is really helped a lot ❤️

[@andymedrano1802]

this video was more helpful than all of my calculus class

[@abirh7161]

your voice is crystal clear

[@scottwillard7998]

Dude. YES. You helped me pass my quiz with a 100

[@TheseOfWe0112]

It's fall, good to hear your voice again

[@sundusfaarah152]

Lets appreciate its was 7 years ago and it still helps 2023 students ❤

[@thatomofolo452]

God bless You Mr J 🙏🙏💫

[@brittonlemere5486]

My teacher literally handed me my test from Friday (it's now Wednesday of the following week), because she saw I was struggling really hard with it and she forgot to let me finish it the other day. I'm now finishing it with this video because I need an A bc it's an AP class and I need that GPA up

[@karinaburgess3989]

you have a gift for teaching !

[@PrimeOTA]

MAN I FRECKING LOVE YOU

[@general-motors]

I understood more in 8 minutes than in 8 weeks. You just saved my ass from getting a shitty grade, thank you!

[@davidchristianngiedi3833]

your the goat bro I am in stem and your are a life safer man.

[@seangabrieluribe5966]

Lamat kaayo bro, test nmo karun gamit kaayo ka

[@STA-CeledonioAerohnKierby]

Salamat bitaw kay bro, nakakopya ko ni sean❤

[@AyeshaTahir-rw8zi]

U are literally saving our livesss❤❤❤

[@kgomotsoseloma1831]

You are the best Sir.

[@last_vain4014]

Your video's are Super helpful man.

[@Ilovepink-p9f]

thank you so much!!!! You are my savior!!!

[@45trlu]

THANK YOU THANK YOU THANK YOU!

[@keziaowusuankomah5065]

These videos you're making has really helped me a lot..I pray for God's abundant blessings for you🙏

[@zoeyspencer4261]

This was so well explained. I'm shook!! 💖

[@Sunny-xv1ie]

Thanks Marky Mark, really helpful

[@aksherpatel5619]

My teacher has no knowledge on how to teach, I understood more watching your videos.

[@eliashaddad3839]

Why does h approach 0 when trying to find the slope using limits(8:45)? Why not have h approach another number other than 0? Thank you

[@delacruzjoshuarenzf.3614]

Maybe it is his own formula but i dont know if you change the value of the x in the limit the answer will be different

[@iamiamiam7367]

If the question didn't give you at which point the line intercepted with (eg: x=4), then use the h>0 formula. Otherwise, use x>a formula. Just on what i understand. Please correct me if I'm wrong.

[@MashewDaCashu]

25 mins in is what i needed thxs

[@chillrelax7178]

Man this guy is so good

[@mazinobaid177]

daaaaaaamn that was awesome thanks a lot,Calsulus 1 in Al Ain University- Abu Dhabi

[@tamillaqochiyeva4293]

you are a lifesaver

[@milocbc]

You're a blessing from the heavens

[@willriker4708]

Just gonna say that i graduated engineering with the help of this channel

[@jotaro4204]

dude, I love you man,

[@nesrinkassar4874]

Hey from 2021 You are the best

[@TaySwift332]

i am speechless, really really thank you so much . you helped me a loot xx

[@airalyndesmaglangit4265]

Happy Teacher's Daaay to youuu the Organic cheeem!!! ❤ thank u for all of ur vidss

[@Cro2K]

Man still saving someones exams...

[@marceloampie460]

Thank you so much! This helped me big time

[@jhayjjang]

Bery helpful. Tommorow is my Final Exam! Tysm😭❤ better than my prof.

[@QuotableTunes]

This guy is literally carrying the entire American Education system on his back!

[@ohturry5591]

Speed running my entire semester 1 day before exam.

[@jovangeorgiev7235]

yes this helps me for my senior year

[@mehdislimey9447]

he shows you how to do it using limits around 8:30 time mark

[@khanhlamxuan8078]

Great! From Vietnam

[@Bdriptrades]

How do you distinguish when to place a 2 or 1 when trying to find the slope of a tangent line when plugging it back into the inverse equation?

[@josephchoi8977]

Great video man!!!! You explain it so well!!!! Those dislikes are stupid.

[@reymond.yeahhh]

This is so informative and helpful.

[@thegoldenapple4171]

im taking addititonal mathematics basically A level math in igcse 2 or O2 whic is grade 10 and until now i knew all the peices of questions like how to take derivative but didnt know how to put them together in actual questions and after this vid i know exactly everything

[@munaal.3246]

thanks for making it so simple. I can't do math if it wasn't for your videos!!!!

[@omsinka._.8055]

Iii looove your voiceee, whatever you say🤩🤩🤩🤩🤩

[@michelletowett377]

Am currently doing differential Calculus 👍🖐️fr fr I love how you teach

[@ibemereaugusta67]

I'm gonna have to refer my maths teacher to this channel...

[@johnsoto7112]

I’m soooo confused the beginning of calculus by James Stewart he doesn’t use derivatives to solve a tangent problem.. he uses x2-x / x2-x maybe I’m looking at the wrong video?

[@badiosogenyl4948]

only the dumbest person will dislike this video, your explanation is way better than my teacher. Thank you so much ! you made calculus so much easier to understand.! I feel confident in answering my modules now.

[@manraaj7409]

You are the best Thank you so muchhh ❤

[@paulacom6866]

thank you so so much bro, this has helped me a lot

[@richa8805]

Thank you. 🌻❤

[@lacoste1245]

I have a question that says "Plot the cliff-face equation (from x=1m to x = 2m in steps of 0.25m) and find the gradient of the tangent line at x=1.5" i have plot the graph but to find the gradient of the tangent line does this mean i use x=1.5 as a constant so it is 0 ?

[@arslanmoghal5472]

Very nicely explained 👍👍