Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Big Derivatives from the Ground Up

Audience:

Tags: calculuslimitsderivatives

Pretty much a summary of all of the calculus one can look forward to doing in the "Honors Precalculus" class which I did last year. Not very rigorous, but the justifications are good enough to be used on a high-school tier free-response. It is very fast-paced, so pausing is encouraged if you feel like I moved on from something too quickly. Not very serious, (and even contains swearing that I am surprised is not against the rules), but I assume that most people who will watch this are in their mid-late teens. Enjoy!


Analytics

4 Overall score*
152 Rank
6 Votes
4 Comments

Comments

4

The color contrast is too huge, and the probably because you think this is easy which doesn’t to me, you explain too fast, so the target audience of this video will be weird, because it’s too hard for those who don’t familiar with this topic, but too easy for those who have learned, the only proper will be to recall this. That’s only my views as a guy not familiar with this topic, don’t take this too personally.

I like the sound effect btw.

4

Too fast, it cannot be clear from a student’s perspective. I suggest focusing on one topic at a time and avoiding overcrowding the screen with text and distractions.

5.5

This one clearly prioritized being entertaining over being educational. And, I mean, it certainly was fun to watch, but it’s difficult to say if I actually retained any knowledge I didn’t already know before since it went so quickly and barely spent any time on actually deriving any of these principles so I fear I don’t think this would be a good educational resource despite being fun.

In any case, I do have a few suggestions. This video appears to be scripted and yet it still has a few sections with mistakes and some sections where you admit that you’re not too familiar with the topic, and I’d keep those out. The audio quality could also be a bit better, sometimes the voice was a bit muffled.

4.9

Swear words? Yes. Hastily assembled? Yes. Does it actually cover the basics of differential calculus? Yes. It’s well structured with a clear and explicit focus. Something you can include that will significantly boost the impact of this video is exhibiting the geometric importance of derivatives, perhaps, say, by showing how the formula definition of a derivative is linked to the tangent line of a graph. That will seriously enhance the accessibility of the video to viewers more unfamiliar with calculus. Additional note: pausing is fine, but slowing down is better — it’s genuinely easier to follow, for there is time to sink in. The chain rule revisit in the end could be more refined if the video would use Leibniz’s notation instead of Lagrange’s notation. Worthy work.