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.
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[@andrewjustin256]

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.

[@MathAndScience]

Happy to hear that!

[@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.

[@athenaphoenix3771]

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

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[@mohamadfazli5575]

Jason what a terrific and simple explanation, thanks.

[@omerelsabbagh8353]

Excellent demonstration of limit explanation and usefulness by practical example.
Can you kindly give more clarification about the last step: plugging in f(t) by t2 and then t2-1= (t+1)(t-1)

[@83jbbentley]

Calculus is a race of the strong and persistent

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Great teacher!

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Thank you! 😃

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Pretty simple at the end of the day!

[@ulysses_grant]

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

[@tresajessygeorge210]

THANK YOU... SIR...!!!

[@hemrajue3434]

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.

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Soboostful sir💕10x sir

[@mayam4480]

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)

[@MathAndScience]

Thank you very much!

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[@MickeyBTBell]

Excellent!

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good lesson, love your lesson!

[@sunijohnson4772]

Please upload the next part ,continuation of the limits

[@iceneweb]

Thanks!

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[@MathAndScience]

Welcome!

[@Germanicus_SPQR]

Please do a video on Taylor Series

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[@scrapsyard-t3m]

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

[@monoman4083]

got it... yes......

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What are sec and secs?

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✨

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Infinitely close but not exact?

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17:30 DUDE!

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❤

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Hmmm....not sure what to think....of a math teacher...that says "I'm gonna circle this..." and then draws a rectangle.

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Lol, well a circle is a rectangle where all corners are rounded right :)

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I'm really not good at my science subject and I really want to become a nurse

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Too many interruptions by adverts.

[@johnpro2847]

an annoying quality is the constant.."ok" no need and rather irritating...thanks for the lessons

[@qualquan]

Awfully long and incomplete

[@Keyynnoo]

You have any references or sources for this? Im down to study all material available.

[@jimromanowski6966]

Thanks!

[@MathAndScience]

Thanks so much!!!