HOW TO Find the EQUATION OF A TANGENT LINE at a given point | Jake's Math Lessons

In order to find the equation of a tangent line to a given function at a given point, you need to consider what a tangent line is. In order for a line to be considered a tangent line you need to make sure that 2 conditions are met:
1. The line needs to go through the given point.
2. The line needs to have the same slope as the given function at that shared point.
In this video I'll show you how to find the equation of a tangent line to the function y=x^3+4x-6 at the point (2, 10). This means that we will be coming up with a linear function that goes through the point (2, 10) and has the same slope as y=x^3+4x-6 at that point. We will come up with this tangent line equation with the derivative of our given function.
READ MORE
How to find the equation of a tangent line - jakesmathlesso...
YOU MIGHT ALSO BE INTERESTED IN...
Download my FREE calc 1 study guide - jakesmathlesso...
My Complete Calculus 1 Package - jakesmathlesso...
Work with me! - Come to Wyzant for some 1 on 1 online tutoring with me and get a $40 tutoring credit for FREE - is.gd/cqeuOv
Some links in this description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.

[@christianmetran5868]

Bro this is the most straightforward teaching I've ever had and it makes a lot of sense thanks sir.

[@JakesMathLessons]

You’re welcome, I’m happy to hear it helped so much!

[@tylerwoznica4073]

For sure. I am telling all my classmates about Jake and his site. A 5 minute video saves the day again.

[@Schmidty96]

Jesse, we need to find the derivative

[@RyantheCanuckpirate]

ayyyo Mr White I don't care about that chemistry bullshit, I just wanna do math

[@rickbryce2341]

Dude thank you so much! I normally watch the organic chemistry tutor for calculus help, but he made this seem way harder than you did! You explained it in such a straightforward way that made it easy to understand. I will be sure to use your channel in the future for my calculus endeavors. You earned a sub from me!!

[@JakesMathLessons]

Awesome! I’m glad it helped so much!

[@brianjrose]

Thank you, man. I really understand the way you just explained this and it is so relieving and helpful to finally understand this concept.

[@JakesMathLessons]

You’re welcome, I’m so glad it helped!

[@artemis2990]

Man you are a life saver with your videos, thank you 🥺

[@JakesMathLessons]

You’re welcome, I’m glad you found them helpful!

[@xgyra]

Panicked because I was struggling to explain a problem in this form and was feeling dumb for forgetting how to do this, but this fixed everything. Thank you so much.

[@nobuenofumbi]

thanks so much for making it simple n clear to understand

[@JakesMathLessons]

You’re welcome, I’m glad it helped!

[@BoazLifting]

Thanks bro I really needed it for my summer work

[@NamelessVex]

Never in my life would I have expected it to be so simple. I was struggling with y=2x^2-4x+1 with the point (3, 7) and I used literally every resource my teacher gave us, and still got nothing. This made everything so fucking simple.
Y=8x-17

[@brandon-rz1wm]

You made it so clear this is a W video

[@JakesMathLessons]

Thank you, I’m glad it helped!

[@Liam-mk4wb]

This was fantastic. Thank you my friend

[@JakesMathLessons]

Thank you! Glad it was helpful!

[@QuintonGill-u3j]

very simple, very easy to follow, thank you

[@JakesMathLessons]

You’re welcome!

[@plumintwins7818]

3 years ago, and you're still helping many others out like us.
Thank you (-u-)

[@JakesMathLessons]

You’re welcome, I’m glad it helped!

[@koanarid]

Thank you.

[@JustNic]

This is amazing dude thank you so much.

[@ItsShania]

Just came here to say that this was such a good and SIMPLE explanation for something a lot of math teachers make so much more complicated 🥲
You’re a life saver, thanks for this video!

[@JakesMathLessons]

You’re welcome, I’m happy to hear it helped! Thank you for the comment!

[@TadhgerLily]

Homie looks like he just ripped a bong toke right before teaching. Way easier to listen to lol

[@riyaarya2300]

Very nice explanation 😊

[@JakesMathLessons]

Thank you!

[@brunostudies]

Thank you so, so much!

[@JakesMathLessons]

@@brunostudies of course!

[@husseinlubad5205]

Thank you so much. Very straightforward 😊

[@JakesMathLessons]

You’re welcome, I’m glad it helped!

[@haydenradcliffe]

You seem like a really cool dude. You are so awesome I hope you have a great life

[@JakesMathLessons]

Thank you, I appreciate that! I do my best, and hope you find my videos helpful!

[@olayinka.o9213]

made it so easy. thanks!

[@JakesMathLessons]

You're welcome!

[@hime2443]

THANK YOUUUUU!!!! omg my brain feels like its braining right now I feel SOO smart

[@JakesMathLessons]

Nice, that's a great feeling!

[@shanisesuson6990]

Thank you, Sir!

[@JakesMathLessons]

You are welcome, Stay Tuned

[@itssupermilodude]

I'm probably not allowed to use this yet but it helped me with a problem i was stuck on.

[@JakesMathLessons]

If it works, it works!

[@wyattm6155]

Thanks, now I can go about solving my 2am math obsession in the obviously wrong way with only a vague understanding of calculus

[@jakerobertson8224]

Thank you so much man. Really appreciate the super clear working and explanation - legend.

[@JakesMathLessons]

You’re welcome, I always love to hear it helped!

[@JohnDoe-iu5vl]

Wow u really made it simple, and u didn’t make it seem boring

[@JakesMathLessons]

Sweet, that’s what I like to hear! Thanks!

[@edw2]

Excellent

[@jbot8108]

thank you sir for this nice tutorial :)

[@JakesMathLessons]

You’re welcome!

[@Samer6]

Thanks man!!

[@harveerbrar6298]

Very good explanation

[@JakesMathLessons]

Thank you!

[@richardadamwais9734]

thank so much it was understandable from djibouti

[@JakesMathLessons]

Awesome, happy to help!

[@JorgeGonzalez-xr1rx]

you are the man

[@JakesMathLessons]

Thank you! 😃

[@folshed5713]

May God bless you

[@JakesMathLessons]

Thank you!

[@pyrojm1916]

Thank you Jake

[@JakesMathLessons]

You’re welcome!

[@fredae400]

may god bless your soul with everything it has ever needed. may the universe listen to your every request and answer twofold. manifesting you achieve everything you've ever dreamed of, for this video has helped me achieve something.

[@mesunflowrme]

thank you 🙏🙏🙏

[@JakesMathLessons]

thanks

[@iris-hb9qs]

thank you!! 😊

[@JakesMathLessons]

You’re welcome!

[@spooky4359]

i love you jake

[@JakesMathLessons]

Thank you!

[@franklinmcfrog558]

thanks bruv you're so cool

[@blue_jorquera]

Thank you

[@JakesMathLessons]

You’re welcome!

[@chadjalac519]

Thank you sir, I was wondering how you write the answer in, what I think is called polynomial form? Like "x+by+c=0, where b and c are integers", thank you :)

[@madrmadrussian4931]

What a legend

[@JakesMathLessons]

Thank you!

[@ummemuhammad1238]

Marvelous love from Pakistan ❤

[@StenTarvo]

got it thx

[@JakesMathLessons]

Nice!

[@StevenSchaber]

You're great.

[@JakesMathLessons]

Thank you!

[@eggicus8506]

ty bro

[@JakesMathLessons]

You’re welcome!

[@charuthwarnakulasuriya127]

thank you jake, really helped me out, you're and excellent teacher!

[@javigenerator321]

i love you jake, you tought me cuh

[@Itz_Phantom-o2m]

i have seen you in breaking bad, but great teaching ty

[@JakesMathLessons]

Thank you! 😂

[@thomthom7615]

My chemistry teacher went through multiple lessons to teach something you taught in 4:55 seconds, and my teacher's way doesn't even work...

[@JakesMathLessons]

I’m glad you found it easy to follow, that’s what I’m going for!

[@thomthom7615]

@@JakesMathLessons hahaha thank you for this

[@JakesMathLessons]

@@thomthom7615 any time!

[@gaigeh_]

goated vid

[@JakesMathLessons]

Thank you!

[@Galablast450]

nailed it! thanks so much!

[@langihalapua5072]

Mine says f(x) then an equation is there a different process to this

[@JakesMathLessons]

Nope! f(x) can be replaced with y and then you can go through the same process.

[@nothingoutoftheordinary5217]

I love you

[@LenieOrtiguero]

Thank you Sir😊! for this helpful video I hope your channel will grow 🫡

[@beccajones4638]

The only reason I’m making it through this unit in Calculus man. I love my teacher but that man doesn’t know what simple terms are at all 😂😂

[@JakesMathLessons]

I've always thought it was so much easier to learn new math topics when people explain them in simple terms and language, then you can learn the technical wording later. I'm glad it helped you too!

[@jakenelson1658]

We have the same name and are both doing calculus!

[@JakesMathLessons]

Gotta love that! 🤪

[@kellynicoledaluz]

Tyy

[@JakesMathLessons]

You’re welcome!

[@audreydaleski1067]

The easy stuff.

[@YashJoshi-n5w]

Jessie

[@abbey_orjay]

gg

[@riri5983]

Thank you so much you saved my life i was about to kicked out from college🥹💞

[@JakesMathLessons]

Happy to help!

[@thereal1337s]

omg good luck :')

[@adeebasahar7990]

Thank you

[@JakesMathLessons]

Of course!