conversation_id
int64
1
206k
help_channel
stringlengths
6
7
__rowid__
stringlengths
32
32
author_id
int64
62,061,868B
1,071,443,446B
author_name
stringlengths
2
32
timestamp
stringlengths
19
19
content
stringlengths
0
3.97k
reference.messageId
stringclasses
3 values
reference.channelId
stringclasses
3 values
reference.guildId
stringclasses
1 value
url
stringlengths
0
591
fileName
stringlengths
0
513
student
int64
0
1
helper
int64
0
1
references.id
float64
62,061,868B
1,071,056,124B
references.name
stringlengths
2
32
references.discriminator
stringlengths
4
4
references.nickname
stringlengths
1
32
references.isBot
bool
2 classes
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:56:04
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:56:10
$$\dv{y}{x} = -\dv{u}{u}\dv{\left(e^{u}\right)}{x}e^{-2x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:56:12
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:56:15
chain rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:56:21
$$\dv{y}{x} = -\dv{u}{x}\dv{\left(e^{u}\right)}{u}e^{-2x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:56:23
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:56:28
e^u differentiates to e^u
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:56:46
$$\dv{y}{x} = -\dv{u}{x}\cdot e^u\cdot e^{-2x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:56:58
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:57:02
u = x^2, and I sub back in
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:57:07
du/dx = 2x
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:57:14
$$\dv{y}{x} = -2x\cdot e^{x^2}\cdot e^{-2x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:57:22
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:57:36
$$\dv{y}{x} = -2x e^{x^2-2x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:57:38
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:57:43
$$\dv{y}{x} = -2x e^{-x^2}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:57:46
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:57:49
Yea I got it
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:01
Then for yours, you do something similar
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:05
the inside of that thing will be u
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:58:13
Don't u do exponent rule for mine?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:30
Well yes and no
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:58:33
https://cdn.discordapp.c…20123_005830.jpg
20220123_005830.jpg
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:35
You apply the chain rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:39
so that you can do the exponent rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:58:43
you know how to differentiate x^4
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:58:58
4x^3
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:59:11
Isn't that exponent rule or chain rule
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:59:11
like yh that answer looks right
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:59:19
this is exponent rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:59:24
but you applied the chain rule to call the inside 'u'
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:00:01
$$y = (e^x+e^{2x})^4$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:00:03
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:00:04
So after that
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:00:13
$$y = u^4$$ $$u = e^x+e^{2x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:00:17
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:00:30
Yea
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:00:39
$$\dv{y}{x} = \dv{(u^4)}{x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:00:55
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:00:57
$$\dv{y}{x} = \dv{u}{u}\dv{(u^4)}{x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:01:00
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:01
$$\dv{y}{x} = \dv{u}{x}\dv{(u^4)}{u}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:01:04
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:07
$$\dv{y}{x} = \dv{u}{x}4u^3$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:01:10
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:20
$$u = e^x+e^{2x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:01:22
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:31
You can also just differentiate this separately if you want
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:35
and plug it back in after
0
1
220,517,274,845,577,200
ramonov
0921
ℝamonov
false
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:40
for du/dx
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:01:47
I got the left side
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:01:59
$$\dv{y}{x} = \dv{u}{x}4(e^x+e^{2x})^3$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:02:01
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:04
yh
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:11
$$u = e^x+e^{2x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:02:14
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:17
$$\dv{u}{x} = e^x+2e^{2x}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:02:21
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:22
yh?
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:31
I'm applying chain rule in my head for the 2e^{2x}
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:02:53
$$\dv{y}{x} = 4(e^x+2e^{2x})(e^x+e^{2x})^3$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 01:03:04
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:03:04
and thats it
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:03:32
Wait
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:04:18
So 4(e^x+e^2x)^3
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:04:24
I get that part
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:04:35
But
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:04:43
yh?
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:04:53
Don't u have to do derivative of what's inside?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:04:58
thats the middle term
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:05:19
https://cdn.discordapp.c…2640/unknown.png
unknown.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:05:30
that was the du/dx
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:05:36
So we have to find derivative of (e^x + e^2x)
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:05:41
yh
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:05:47
That's the derivative of what i said?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:05:52
yh
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:05:59
e^{2x} you can differentiate with chain rule ofc
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:06:10
I just did it in my head
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:06:13
u = 2x
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:06:16
so du/dx = 2
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:06:26
you will end up with 2e^{2x}
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:06:39
Ohh
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:06:43
Okay
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:06:44
sorry lol
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:06:46
I get it
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 01:07:04
Ty for your time
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 01:07:09
👌
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
697,121,282,273,050,600
yukiboki
01/23/2022 01:42:42
hihi! could i please get help with this question? i dont understand what its asking me to do x-x please ping!
https://cdn.discordapp.c…t_5.41.34_pm.png
Screen_Shot_2022-01-23_at_5.41.34_pm.png
1
0
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:43:44
@yukiboki Which part doesn't make sense
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
697,121,282,273,050,600
yukiboki
01/23/2022 01:44:24
this is the explanation and i dont understand the second line-
https://cdn.discordapp.c…t_5.43.58_pm.png
Screen_Shot_2022-01-23_at_5.43.58_pm.png
1
0
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
697,121,282,273,050,600
yukiboki
01/23/2022 01:45:03
why dont we just do a + B = -b/a thing
1
0
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:14
'By comparing'
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:16
or the equation
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:29
I mean there's probably multiple ways to do this
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:36
I would start with writing the quadratic
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:47
$$(x-\alpha)(x-2\alpha)=0$$
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
510,789,298,321,096,700
TeXit
01/23/2022 01:45:50
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
321,445,119,171,756,000
Shuri2060
01/23/2022 01:45:55
This make sense?
0
1
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
697,121,282,273,050,600
yukiboki
01/23/2022 01:45:57
..
1
0
null
null
null
null
null
205,595
help-1
5005c820e29f4610abe60134c2f6eb3d
697,121,282,273,050,600
yukiboki
01/23/2022 01:45:59
OHH!!
1
0
null
null
null
null
null