Intro to Derivatives, Limits & Tangent Lines in Calculus | Step-by-Step

In this video, we'll be introducing you to some of the key concepts in calculus, specifically derivatives, limits, and tangent lines.

We'll start with an overview of what calculus is and how it works, then dive into the basics of limits and how they relate to derivatives. We'll explore how derivatives are used to measure rates of change and slopes, and how they can be used to solve real-world problems in fields like physics, engineering, and economics.

We'll also cover tangent lines and how they are used to approximate functions and determine the behavior of curves at specific points. You'll learn how to calculate derivatives and use them to find the equation of tangent lines and slopes.

Whether you're a beginner looking to get started with calculus or an experienced learner seeking to brush up on your skills, this video has something for everyone. By the end of this video, you'll have a solid understanding of the basics of derivatives, limits, and tangent lines in calculus.

[andrewjustin]

I have been waiting for this lesson for ages; finally!! I can't thank you enough Mr Jayson. Because of you now I love to learn Math and Physics.

[ddfagioli]

Picking math up as I try to switch careers in my 30s; these concepts seem even easier to understand than when I was studying them 10+ years ago! Thank you Jason for putting in the effort and sharing your invaluable knowledge.

[athenaphoenix]

This is exactly what I need right now, just starting calculus.

[mohamadfazli]

Jason what a terrific and simple explanation, thanks.

[Kashif_Javaid]

Would love to see the video from you about intuition and derivation of fundamental theorem of calculus. Keep up the good work!

[jbbentley]

Calculus is a race of the strong and persistent

[mayam]

It wasn't painful, It was enjoyable. Thank you sir for your time and excellent work. please keep going this way. (I am telling all this as a person who watched a lot of videos about Math and always comes back to your channel)

[wilkyclergeot]

Thank you so much incredible teacher we do need that!!!

[fantasankoh]

Fantastic teaching, thank you so much.

[mahmoodhemami]

Thank you. Every thing beutifully discussed.

[MAURÍCIOBAINYCURI]

Thank you, your classes are excellent!

[sammin]

🌟🌷🌟 It's great because you give lessons with all your heart

[NidhiSinhaU]

Jason ji, I'm not sure what is your area of expertise, but by the looks of it, you seem to know everything. So, do you have any plans to start the computational neuroscience Playlist?

[teachnicalnepal]

Please make antiderivatives videos also loves from Nepal 🇳🇵 jay Nepal thanks you so much 💗 🎉

[wthomas]

Your explanations make me wonder why calculus is considered difficult. You also have a real talent for drawing on a white board.

[hemrajue]

I think there are many quantities in nature which have constant velocity and so their inst velocity. There are also quantities like throwing a ball in the air, calculating it's velocity at different instant of time is important. There, the derivatives are helpful.

[ulysses_grant]

Hello Jason! Do you have any plans on recording a Discrete Mathematics course? Thank you very much!!

[sunijohnson]

Please upload the next part, continuation of the limits

[scrapsyard-tm]

It was a lot, I lost track but I have to know more.