Calculus, a simple explanation…

[@irisrivas6603]

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

[@steelcommander5751]

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.

[@charlesmitchell5841]

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

[@Dominus_Providebit]

KZbin mathman your videos are awesome and motivating

[@thefatalcarrot8457]

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.

[@n6mz]

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

[@robertstuart6645]

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

[@jimiwright5115]

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]

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

[@jamesharmon4994]

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

[@tonitalas1757]

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

[@MF-ty2zn1]

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.

[@michaelfrench7638]

That example curve goes through the origin.

[@Biosynchro]

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.

[@benquinneyiii7941]

Chain rule?

[@donnabrowder2431]

Your curve is not y=x squared. As you know, it is y=x squared plus a constsnt. A correction is needed.

[@nathanjshorter2963]

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

[@b92555]

Thanks

[@richardchamberlain8345]

Area

[@tomtke7351]

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.)

[@thatomofolo452]

First 🤸🤸🤸💯💫

[@robertdeland3390]

If it takes 17+ minutes, it's not simple.

[@benquinneyiii7941]

Darn curves

[@benquinneyiii7941]

Zeno

[@benquinneyiii7941]

Stem

[@benquinneyiii7941]

Masochists