Calculus Made EASY! Understanding the definition of the derivative

#calculus #math #derivatives

[ywypfgm]

Best explanation on this topic I have ever seen! More students need to see this

[Jeiideezee]

Best explanation! Thank you so much for the video! Can you make a video about limits? (Delta-epsilon proof)

[sg]

I’ve watched A LOT of math videos and this was by far the best explanation of the first derivative. Your communication skills and presentation materials are top notch. I’m super impressed.

Any thoughts on creating a statistics class that incorporates R?

[mentanagavenkatasrinivas]

very beautiful and elegant explanation!!

[sreedharperupally]

Mr Dr Ji 🙏
Sir your explanation is the Best of the Best. Extraordinary Detailed Explanation. I Salute You. One thing is Sure that your explanation can't be understood by those who don't have Strong Fundamental Knowledge of Algebra & Co-ordinate Geometry.
❤❤❤❤❤
🌟🌟🌟🌟🌟

[syri_bigbrother.]

Thank You very much Sir, best explanation ever !!

[alesianakipava]

Dr Li,
I’m so thankful that I met your video. That’s incredible ❤

[gautamroychoudhury]

You explain very well. Thanks a lot. Regards

[darkl]

Thank you so much, my teacher didn't explained derivatives this clear.
he directly moved on questions but because of you now this topic makes a lot sense to me,
Thank you again! please make more videos about math

[asapstudies]

as a math tutor ..I aprove this explanation>>>

[StudywithmeinPakistan]

Sir you have covered everything, but if you can also make a video on derivatives of log and exponents, that is missing, otherwise your work is all complete.

[StudywithmeinPakistan]

Greatest video ever on this topic.
Regards from Pakistan 🇵🇰

[jan-willemreens]

... Good day Dr. Ji, After watching your excellent presentation on the definition of the derivative I don't think there's any teacher left who could explain this topic better (lol) ... however, every time I see the formula f'(x) = lim(h -> 0)[ f(x + h) - f(x) / h ], I personally think it's a shame that the denominator is referred to as only " h ", instead of " (x + h) - x ", after all, you lose a lot of valuable information right from the beginning, which means being less creative when solving for instance limits; especially for people still in the learning process ... f'(x) = lim(h -> 0)[ f(x + h) - f(x) / (x + h) - x ] is much more clear to me, and I observe this too with tutoring students ... thanking you for your more than clear to the point presentation ... best regards, Jan-W

[jsswan]

This was so well done. I saw a months old post of yours saying you were going to be posting “every day”. What happened? I think students would *really* get a ton of value from more calculus videos that would cover the span of subject matter from at least a basic course (Calculus I).

[deepakkumar]

Great ! If we are getting slope after one time derivative, then what we get if we do it third time, fourth and soon.

[alext]

At 3:28, y is defined in terms of x. That makes no sense unless the student is reminded that the definition of y is f(x). So when someone asks what (x, y) is equal to, the answer can be (x, f(x)). Let's make it more clear. [ x, f(x) ], because the y is actually, by definition, f(x).
I think that's a stumbling point for some students because things start looking crazy at that point. Great video.

[dfparker]

At the 10m mark, what is the thought process behind "simplifying" the numerator)? Is the helpful substitution random or procedural?

[josephajoseph]

But why we plug in h to zero in the equation (xh+4x) if it only approaches zero?

[josephajoseph]

2 points doesn't become infinitely closer.. I guess