Find the Derivative of f(x) = x^2 + x - 3 Using the Definition

In this video we find the derivative of a function by using the definition of a derivative which involves finding a limit.
For those of you that already know the power rule, you can use the shortcuts to verify your solution if you encountered a question like this on an exam.
Note that the derivative could be used to find the slope of the tangent line or the instantaneous rate of change more generall.

[kooliscoolwithme]

Criminally underrated channel that always helps me through math courses. Keep up the good work!

[NobodyXChallengerYT]

I'm not even in calculus anymore— at least not yet, anyway— but I continue to watch your videos for the support (:

Also because I like math

[ditinctive]

omg i haven't seen you on my subscription feed since i graduated high school! it's been 8 years... i'm not employed as a software engineer and you definitely helped me pass my Calc BC AP test! hope you're well! :)

[anyelysrivera]

Omg what a beast 🌞✨ Thank you so much!

[jefersonsantana]

That's such a great job Patrick. You have been all long helping me lot with some complex calculus

[shishashi]

always love these videos, keep up the good work. Very much appreciated

[matthewjames]

this is whats on my homework! you uploaded this right as it was assigned. thank you for reading my mind it was very helpful

[Fadic]

I'm taking precalc now. What calc is this 1 2 or 3?

[felixwinchester]

Have you done any video on Derivative of implicit functions?

[chrisbad]

Hey Patrick, do you mind me asking what is your setup for recording these videos? Your phone, camera, a mini tripod?

[zuhairalsaffar]

Sir thank you so much for your kindness, you are perfect teacher thanks

[aymaniqachaden]

Although pretty easy derivative, but still nice to see the logic you put in this video and in all your videos in general. Miss the chess videos was wondering when do you think you could some ?!

[ShivNC]

just hit this unit in calculus, perfect timing

[stefan-adrianmihai]

you could use l'hopital than forced factor

[ImageIsEverythingV]

If you have time you should make a video on drawing quadric surfaces

[ryanburdick]

x squared is 2x right???? 2x + x - 3 ====????


oh thats right

6x-2 = x= 1/3

[kayytheprincess]

Okay but like f(x)=a^n and f'(x)=na^n-1

[daltonysme]

143 views in 11 minutes. I feel like many people know this stuff but click anything (I'm guilty too)

[JTMcAwesomeFace]

I just watched for fun. I miss doing le math lol

[AsifAli-rovo]

Where is your first derivative basic video. Because I don't know derivative (D)