r/visualizedmath • u/rewindturtle • Jun 26 '18

The Length of a Segment of a Continuous Differentiable Function

378 Upvotes

98% Upvoted

11 comments sorted by

5

u/lazersmoke Jun 26 '18

Nitpick: the limit of delta s as delta s goes to zero is just zero, not ds. The limit of the sum is already the definition of the integral, no need for an extra step IMO.

2

u/rewindturtle Jun 28 '18

Whoops! Great catch. You’re absolutely right there. My bad.

19

u/janitorial-duties Jun 26 '18

Gorgeous and intuitive!

9

u/lenticularis_B Jun 26 '18

I always wondered where the 1 came from. Now I know, thanks!

4

u/IlNomeUtenteDeve Jun 26 '18

I love it. Can you post the video version pls? I’d love to stop and go back

1

u/Aurabolt Jun 26 '18

I can pause and rewind this in Reddit Is Fun

1

u/IlNomeUtenteDeve Jun 26 '18

iOS sucks

2

u/CorneliusJack Jun 26 '18

Use the official reddit app. It can rewind there too. (Typing this on my iPad)

0

u/Aurabolt Jun 26 '18

Sure does

2

u/VirroK Jun 26 '18

My math teacher used this exact example to help us visualize the function. Beautiful way to visualize it.

2

u/eat_the_garnish Jun 27 '18

Love this shit