Calculus, a simple explanation…

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Calculus - a quick explanation of why Calculus is so special.
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Опубликовано:

18 апр 2023

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Комментарии : 26

@irisrivas6603 Год назад

Very well and easy explanation. You are great. Thank you!

@steelcommander5751 Год назад

I was depressed until i saw John uploaded the kind of video i was looking for and hearing him naming that shape squiggly made me laugh, thanks a lot John. You really made my day.

@Dominus_Providebit Год назад

RU-vid mathman your videos are awesome and motivating

@charlesmitchell5841 Год назад

Good analogy with the two problems. Made it easy to understand. Thanks for the video!

@thefatalcarrot8457 Год назад

I’ll say it as my first calculus teacher told me: calculus makes stupid, overly complicated math simple. You take a mess of a problem, boil it down, and distill it into something that’s far, far easier (and takes you less time) than the monster you were about to begin. (Remember, the more steps to a problem, the greater the chance that you’ll make an error somewhere in all that arithmetic.) This is only one of the sweet benefits /applications of this mathematical dream, but it is a BIG one, if you’re looking for reasons to learn it.

@robertstuart6645 Год назад

Without calculus, practically all of the world's progress since the 17th Century would have been impossible.

@n6mz Год назад

I think the subtitle should be: "Calculus - a quick explanation of why Calculus is so BEAUTIFUL."

@MF-ty2zn Год назад

I think explaining the logic of the formula helps. So we know that a square or rectangle is LW. And a triangle is really just half of a rectangle, thus the 1/2 in the formula. BH is almost the same as LW, but only the right triangle is easy to see. Getting the height on obtuse and acute triangles changes the width part.

@Biosynchro Год назад

On the drive home today, I asked myself if there was a dead straight method to understand calculus, by using it where it wasn't needed at all. Like, say, figuring out the area of a right triangle. So when I saw this video come up in my feed, I thought, damn. Synchronicity baby. Synchronicity.

@michaelfrench7638 Год назад

That example curve goes through the origin.

@b92555 Год назад

Thanks

@nathanjshorter2963 9 месяцев назад

Shouldn't y=x^2 be sitting at point (0,0)?

@jimiwright5115 Год назад

The curve that you drew in the video is NOT Y=X squared, it is Y=X squared + some Y value. If you calculate the area under the curve of that graph, it will not yield the same value as the area under Y=X squared.

@jamesharmon4994 Год назад

This is why the ACTUAL integral is x^3/3 + c. I was disappointed at the graph used.

@jamesharmon4994 Год назад

Generally, the c is an unknown constant, but in this case c would equal the x times the y intercept.

@tonitalas1757 Год назад

Y is not x^2. It is Y = x^2 + some y intercept

@tomtke7351 Год назад

Calculus is C👀L!!. There are two general types associated with both a function of (x) and its curve when plotted. They are: (-1-) slope of the graphed line and (-2-) area under that graphed line. If a weatherman collected data during a rain storm and found the equation that described the rainfall he'd be able to use calculus to (-1-) analyze the slope to know when rainfall was strongest (slope) and (-2-) know the total rainfall (area under the curve.)