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365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 03:54:57 | (this is extremely cursed) | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 03:54:57 | ah damn | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 510,789,298,321,096,700 | TeXit | 01/30/2022 03:55:08 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 03:55:11 | there we go | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 03:55:28 | ohhh right! I was at the point >_< but I took f'(x).dx to be ∆x instead of ∆y 🤦♂️ | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 03:55:39 | got it! | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 03:55:44 | I don’t really get this - how is adding infinitesimal increases equivalent to adding little rectangles under f’? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 03:56:24 | it's basically the rd(theta) argument lol | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 03:59:19 | maybe we look at a simple picture to get the intuition | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 03:59:51 | if that's alright with you i'll make a lot of simplifying assumptions, and then we'll see it extends generally? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:00:47 | ok uhh | 1 | 0 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:00:55 | i think i know what i don’t understand | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:01:07 | hmm? | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:01:17 | IMG_0365.png | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:01:29 | so here, t and v multiply out to be s | 1 | 0 | 307,070,375,735,459,840 | abs_0 | 8527 | a.b.s._.0. | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:01:42 | this is why wiki had a whole section about ‘physical intuition’ | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:02:14 | is there some other intuition other than physics | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:02:27 | that tells us ‘ftc1 = integral is inverse of differentiation’ | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:03:06 | what we do in physics is agreed by mathematics +_+ but mathematics is rigorous and physics only basically uses the definition and the intuition behind it | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:05:02 | i want intuition, in general, not ‘physical intuition’ | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:05:02 | lol | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:05:18 | that doesn’t only prove the theorem but tells us this too | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:06:02 | well, the problem is kind of one that admits the physical intuition as the most convenient one | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:06:12 | after all, calculus was invented based on physical intuition | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:06:16 | it’s ‘convenient’ but not ‘general’ | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:06:23 | i’m looking for a general one | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:06:54 | Generality is a monster | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:06:58 | :KEK: | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:07:09 | Our brains are wired for physical analogies | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:07:16 | Lol | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:07:19 | so what, you want to study measure theory? | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:07:30 | what’s that | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:07:30 | powerful and lets you do integration like no one's business | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:07:34 | but it's advanced | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:07:51 | i’m just looking to understand why integration is reverse of differentiation | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:07:56 | once you hit that level, you can basically differentiate functions by another function | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:08:10 | Generally speaking, continuous functions are differentiable nowhere | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:08:14 | That’s not fun is it | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:08:14 | wait... why is the "general" intuition stronger than the "physical" one? (@_@;)
I don't get it | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:08:26 | Is there something that the physical intuition doesn't account for? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:08:36 | or is lacking in some way? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:08:55 | it’s so specific | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:09:04 | and plays by some set of rule which we can conveniently exploit | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:09:11 | wdym "it's so specific" | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:09:15 | after all i get the physics intuition and still not mathematical one | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:09:15 | what is it specific to? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:09:24 | it doesn't account for things like the popcorn function, but for sufficiently nice functions which everyone deals with _before real analysis_ it works | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:09:45 | how do you even classify them as physics intuition and mathematical Intuition.. like what's the basis? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:09:55 | it’s easy to understand area under curve = distance, because the units in x y axes happen to cancel out into distance | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:10:25 | huhhhh? wdym happens to cancel out... | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:10:35 | honestly i prefer to think of it as the ideas we have before introducing measure theory, and after redefining the whole thing using lebesgue | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:10:54 | ohhhh | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:11:12 | 0 | 1 | 706,934,233,012,371,600 | Ansh_ | 3502 | Arya | false | ||||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:11:23 | HAHAHAHA oh my god | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:11:25 | ~~perfect sticker moment~~ | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:12:18 | what i just talked about is unit independent though??? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:12:24 | i didn't specify velocity | 0 | 1 | 706,934,233,012,371,600 | Ansh_ | 3502 | Arya | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:12:33 | wait where lol | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:12:40 | i just used 'rate of change' which works in general | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:12:43 | Were you following right now? | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:14:04 | . | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:15:29 | is your explanation the one from this | 1 | 0 | 701,895,792,763,600,900 | s_chanch | 2633 | s_chanch | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:15:36 | https://youtu.be/FnJqaIESC2s | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:16:36 | i have no idea, i invented it on the spot | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:16:44 | i just woke up from a nap after all | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:17:14 | can i get some visualisation..? | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:17:23 | i’m not getting it | 1 | 0 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:17:25 | ;-; | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:18:58 | Physical, intuitive ideas precede the abstract generalizations | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:19:12 | That’s the most natural way to learn it, in my opinion | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:20:09 | Because it includes the original motivation and context, which is very important | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:20:51 | Well it's the $\Delta y = \Delta x \theta$ argument tbh | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:21:30 | What is that argument | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:21:31 | Ignore the scratch, you want the graphs | 20220130_172057.jpg | 0 | 1 | null | null | null | null | null | ||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:21:32 | where you use the limit definition of derivative of f(x) for the d(theta) | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 510,789,298,321,096,700 | TeXit | 01/30/2022 04:22:53 | **Ansh** | 706934233012371577.png | 0 | 1 | null | null | null | null | null | ||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:23:27 | i still don’t get it | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:25:37 | All I see r probability ;-; | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:25:57 | _ignore that scratch lol_ | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:26:11 | that's SCRATCH? >_< | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:26:50 | i feel like the actual argument in concern is the scratch here xD | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:27:04 | HAHAHAHA | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:27:15 | i'm sorry, but i don't want to get out of bed to get a clean paper | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:28:11 | alright uhh | 1 | 0 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:28:16 | what you mean is this right? | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:28:17 | Makes sense | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:28:31 | Hahaha this is possibly the most simple function you could start with | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:29:15 | Ok but | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:29:27 | IMG_0366.png | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:29:29 | if you add up | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:29:33 | all the tangents between a and b | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:29:38 | you get the average rate of change? | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:29:49 | It almost seems coincidental that the area from 0 to 2 = 2c is the same as f(2) | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:29:58 | I don’t think I’m thinking hard enough | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:30:08 | this doesn’t make sense to me | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 701,895,792,763,600,900 | s_chanch | 01/30/2022 04:30:17 | at least intuitively | 1 | 0 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:30:41 | Not avg rate of change | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 569,167,697,925,898,240 | Camilleone | 01/30/2022 04:30:43 | that's because it's not, it's strictly speaking f(2) - f(0) | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 307,070,375,735,459,840 | abs_0 | 01/30/2022 04:30:58 | You add up the slopes of the tangent lines, and you get the value of the function where you stopped | 0 | 1 | null | null | null | null | null | |||||
365 | help-10 | d8b842f4e0a64afb952cef54909e6d8e | 706,934,233,012,371,600 | Ansh_ | 01/30/2022 04:31:07 | btw am I right with my understanding?
>>> We use the limit definition of derivative to define f' = theta as the slope of the secant from (a,f(a)) to (a+h,f(a+h)) and use the "for h small" to conclude ∆y = (∆x)( theta ) so we're ultimately left with int(f'(x)dx) = f(x) ? | 0 | 1 | null | null | null | null | null |
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