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205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 04:58:00 | @sreedev there? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 04:58:24 | Yes. | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 04:58:46 | Could you remind me the definition of inflexion points | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 04:58:59 | f”(x) = 0 | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 04:59:24 | chabge of concavity | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:01:51 | we can try an intutive proof first. | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:02:24 | if f”(x) = 0, its tangent line is both above and below the graph | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:02:32 | and if f’(x) = 0, f is horizontal | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:02:42 | (assume f isn’t constant) | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:03:15 | that seems implausible | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:03:23 | Yes,true. | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:03:25 | the only case it’s NEITHER above nor below is when f is constant | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:03:37 | Right. | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:04:04 | wait | 1 | 0 | 692,654,133,785,657,300 | Alexander42 | 6205 | Alexander42 | false | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:04:14 | does having analysis knowledge make these a lot more easier lol | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:04:53 | just asking | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:05:01 | You are saying this since f"(x)=0 implies f" changed sign before and after going throgh x(by IVT) and thus f' changed from increasing state to decreasing or vice versa right? | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:05:54 | It helps to think more clearly.Analysis is mostly about making calculus mathematically precise and perfect | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:07:14 | wel | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:08:53 | if c is an inflexion point of f (that goes from concave to convex), ∀ δ > 0, ∃ x ∈ (c - δ, c) and y ∈ (c, c + δ) such that x < f(x) and y > f(y) | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:08:57 | i would define it this way | 1 | 0 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:09:17 | not sure how that helps tho | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:10:59 | Ok,I have a different idea I think.We can show that at local maxima f"(x)<0 and at local minima f"(x)>0 | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:11:56 | No,you just solved the problem here I think | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:11:59 | to be honest, i don't think this is a definition of an inflexion point | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:12:15 | that is, f''(x) = 0 is _not_ a definition | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:12:35 | it's a necessary condition, but not sufficient | 0 | 1 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:15:01 | oh and | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:15:04 | f(x) is well defined | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:15:09 | ???? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:15:33 | wth? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:19:48 | Nvm, I'm not really sure whether it will work | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:23:23 | what other conditions are there | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:23:53 | This is easy to show I think.In local maxima we know that f first increases and then decreases.Thus f'(x) changes sign from positive to -ve as it passes through c.So we can find a nbd of c were f' is strictly decreasing which implies f"(c)<0 | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:25:28 | the definition is that the curvature changes sign | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:26:02 | Similar idea for local minima as well.So since this is true and here f"(x)=0,it cannot be a local max/min and thus is not an extremum point | 0 | 1 | 885,158,232,446,881,800 | rinne | 4483 | rinne | false | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:26:10 | f”(x) is something that comes out | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:26:11 | isnt it | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:27:49 | i think this is equivalent to the existence of a $\varepsilon > 0$ s.t. $f''(x-y)$ and $f''(x+y)$ having opposite signs for $0 < y < \varepsilon$ | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 510,789,298,321,096,700 | TeXit | 01/16/2022 05:28:16 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:28:23 | Like the curvature from differential geometry? | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:28:41 | except specialised to curves, yes | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:28:46 | bruh | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:28:54 | if i'm not wrong, the signed curvature of a graph has the same sign as f'' | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 569,167,697,925,898,240 | Camilleone | 01/16/2022 05:29:05 | so you can just say it's f'' instead | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:30:20 | im considering convex function as ‘for any segment on the curve, all points except the endpoints are above the curve’ | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:30:27 | then we convert it into algebraci defn | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:30:29 | then do math on jt | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:38:52 | f"(x)=0 is a consequence of this definition I think,by IVT.So it is a neccesarry condition If we assume this definition | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 05:45:58 | I'm sorry,I think I have to think about this.I will let you know later. | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 05:48:52 | @Helpers | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:41:26 | well | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:41:50 | first of all you have a wrong statement here I believe | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:42:02 | consider the counterexample of x^4 at x=0 | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:42:31 | also you can generalize this under the higher derivative test | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:42:37 | the proof of which requires taylor's theorem | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 06:43:09 | Oh,right!. Here there is a local minima at 0 but f"(0)=0 | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:43:35 | so I could write it out here :/ but then that would first rquire the proof of taylor's theorem | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 06:44:07 | so I think its better you look up the proof for higher derivative test and go down the rabbithole if you like | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:14:29 | taylor’s theorem?? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:15:50 | so how do we very whether a point is inflexion point lol | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:15:54 | find f’’’(x)??? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 07:15:59 | I think,I got a proof using the other definition | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 07:17:00 | I showed that derivative won't change sign implying it is not an extremum point | 1642335309088_1.jpg | 0 | 1 | null | null | null | null | null | ||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 07:24:41 | We use MVT to find sign's of derivative.If I didn't made any calculation mistakes,f' have the same sign in the entire interval if f changes from concave to convex or convex to concave. | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 807,287,208,314,798,100 | sreedev | 01/16/2022 07:25:33 | Which will imply those are not max or min as at max and min,derivative changes sign | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:29:01 | ok so apparently | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:29:20 | this is called an undulation point? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:29:25 | haven’t heard of it | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:29:27 | not sure the use | 1 | 0 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:30:12 | those names come from diff geo not very common in analysis or calc pretty sure | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:30:32 | changes sign is a better way of putting it | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:30:48 | if f'(x) changes sign at a point then it is a minima | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:30:53 | which is the extremum test | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:31:36 | hsjdksdknffkndsjncdmndfc | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:35:04 | ok so again this one uses mean value theorem | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:38:58 | I am done trying to latex it live so let me find some source -.- | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:40:18 | ok I found this | unknown.png | 0 | 1 | null | null | null | null | null | ||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:41:23 | this is what i was investigating here this afternoon lol | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:41:45 | and you can see what sreedev has sent is very similar | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:41:53 | where | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:42:02 | https://discord.com/channels/268882317391429632/269573202018041856/932247065860386856 | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:42:21 | except it talks about second derivative at that point changing signs | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:43:04 | and from there he uses this | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:43:55 | isn’t just the first derivative test | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:44:03 | just we’re doing it on derivatives | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:44:18 | so let f’(x) = g(x) | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:44:24 | we’re investigating g’(x) | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:44:44 | and nothing more | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:44:52 | @sreedev is this right | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 07:45:03 | (you should get advanced role and helper role) | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:46:06 | yeah in a way yes | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 373,549,242,754,793,500 | nyann | 01/16/2022 07:46:34 | if you show g(x) has extremum at c then you can show it does not change signs yes? | 0 | 1 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 08:19:11 | also | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 08:19:21 | does the third derivative tell us something? | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 08:19:31 | about function | 1 | 0 | null | null | null | null | null | |||||
205,438 | help-1 | 9aac582ad5fb4c04bb45b087ffa94d43 | 701,895,792,763,600,900 | s_chanch | 01/16/2022 08:33:42 | .close | 1 | 0 | null | null | null | null | null | |||||
205,439 | help-1 | c9dca0024e394d258ac4b5f9f3720a83 | 774,994,557,859,135,500 | Legendang | 01/16/2022 08:36:03 | IMG_20220116_212721.jpg | 1 | 0 | null | null | null | null | null | |||||
205,439 | help-1 | c9dca0024e394d258ac4b5f9f3720a83 | 774,994,557,859,135,500 | Legendang | 01/16/2022 08:36:10 | Can anyone help me with this question? | 1 | 0 | null | null | null | null | null | |||||
205,440 | help-1 | cd054d24808d4042b01ddee588449ade | 710,883,233,595,654,100 | R31 | 01/16/2022 09:33:45 | unknown.png | 1 | 0 | null | null | null | null | null |
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