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205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
321,074,029,291,372,540
Jason_Bjorn
01/22/2022 23:34:18
I guess there is no x5
0
1
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205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
312,559,012,346,331,140
xdk1235
01/22/2022 23:34:44
https://cdn.discordapp.c…6032/unknown.png
unknown.png
0
1
null
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null
null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
312,559,012,346,331,140
xdk1235
01/22/2022 23:34:46
it's augmented like this
0
1
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null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
321,074,029,291,372,540
Jason_Bjorn
01/22/2022 23:35:02
x1 = 0, x2 = 0 ...?
0
1
null
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null
null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
312,559,012,346,331,140
xdk1235
01/22/2022 23:36:15
what about the column with -0.80246
0
1
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null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
321,074,029,291,372,540
Jason_Bjorn
01/22/2022 23:36:24
omg, idk
0
1
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null
null
null
null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
321,074,029,291,372,540
Jason_Bjorn
01/22/2022 23:44:12
is this an inconsistent system @xdk1235
0
1
null
null
null
null
null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
312,559,012,346,331,140
xdk1235
01/22/2022 23:44:47
no it's still consistent
0
1
null
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null
null
205,593
help-1
65d70bec43b84cdb9431cf291a290a2f
312,559,012,346,331,140
xdk1235
01/22/2022 23:44:58
it's inconsistent when there's no root
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:18:42
https://cdn.discordapp.c…20123_001840.jpg
20220123_001840.jpg
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:19:06
I thought I should use the e formula
1
0
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:19:23
https://cdn.discordapp.c…20123_001921.jpg
20220123_001921.jpg
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:19:56
So wouldn't it be original times derivative of qhats inside?
1
0
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:27:19
@PRIT use this channel
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:27:34
Oh I see it now
1
0
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:28:33
Anybody home
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:29:16
this is correct
0
1
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:29:20
this follows from chain rule
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:29:28
do you need help understanding chain rule?
0
1
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:30:24
No but is what I said right
1
0
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:30:26
?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:30:32
^
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:30:50
du/dx is notation for "derivative of what's inside"
0
1
null
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:31:00
Since that's the formula for e^u
1
0
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:31:17
think of $e^u$ as $e^{u(x)}$
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:31:19
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:32:29
Yea so by using the formula it's e^u multiplied by derivative of u right
1
0
null
null
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:33:57
Oh wait
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:34:12
That only applies to what's inside the parenthesis?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:34:21
From the question?
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:35:13
I'd highly advise against remembering such formulas and instead learn how to use the chain rule
0
1
null
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:35:26
All you need to 'remember' is how to differentiate basic functions
0
1
null
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null
null
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:35:36
polynomials, e^x, ln x, trig functions
0
1
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:35:49
And not much more tbh
0
1
null
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:36:02
In addition to that, you need the chain rule, product rule, quotient rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:36:06
Ik all that
1
0
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:36:25
Ik u bring down the 4 and make the exponent 3
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:36:58
you're going off on tangents
0
1
null
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:37:00
just focus on the problem
0
1
null
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null
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:37:03
$$\dv{y}{x}=\dv{y}{u}\times\dv{u}{x}$$
0
1
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:37:06
**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 00:37:14
Do you recognise this version of the chain rule?
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
261,933,205,387,477,000
riemann
01/23/2022 00:37:17
this is all you need to understand
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:38:28
Uhhh idk what that is
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:38:35
Or at least that version
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:38:50
Which chain rule do you know then
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:39:03
I prefer ths one usually
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:39:32
Could u explain how that works?
1
0
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:40:00
Perhaps if I show you an example?
0
1
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:40:02
Isn't it just original times derivative of what's inside
1
0
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:40:14
You can think of it like that...
0
1
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:40:29
But you might make mistakes from missing steps/remembering wrong
0
1
null
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:40:35
Yea examples
1
0
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:40:38
alright
0
1
null
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:40:52
$$y = (e^{x^2})^{-1}$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:40:55
**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 00:41:10
I got this
1
0
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:41:27
$$\dv{y}{x} = \dv{x}\left((e^{x^2})^{-1}\right)$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:41:38
Wait I haven't done negative exponents yet
1
0
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:41:39
**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 00:41:45
It is the same rule as the power rule
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:41:59
Multiply by what the power is
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:42:01
Then reduce it
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:42:04
Okay wait
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:42:20
So it's gonna be e^x^2 times 2x
1
0
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:42:37
Idk about the negative 1 exponent
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:42:42
I can show you
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:42:43
Well first
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:42:47
$$x^n$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:42:49
**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 00:42:51
For a constant n (not 0)
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:43:00
this differentiates to
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:43:04
$nx^{n-1}$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:43:07
**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 00:43:16
It doesn't matter if n is not a whole number (as long as its not 0)
0
1
null
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:43:36
Okay
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:43:41
$$\dv{y}{x} = \dv{x}\left((e^{x^2})^{-1}\right)$$
0
1
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:43:44
**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 00:43:48
But ur example had e right
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:43:52
Is that a number constant
1
0
null
null
null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:43:55
yes
0
1
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:43:59
Let me show
0
1
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:43:59
Oh..
1
0
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:44:17
Basically, you know how to differentiate
0
1
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:44:19
$x^{-1}$
0
1
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:44:21
right?
0
1
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:44:32
It's not showing up
1
0
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:44:39
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:44:48
I just showed how
0
1
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:44:58
it would be $-x^{-2}$
0
1
null
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:44:59
-1x^-2
1
0
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:45:02
yes
0
1
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:45:03
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
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null
null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:45:07
Yea
1
0
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:45:10
So the chain rule says we can differentiate that thing if we set the inside to be u
0
1
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:45:15
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
321,445,119,171,756,000
Shuri2060
01/23/2022 00:45:25
We will let $u = e^{x^2}$
0
1
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null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
510,789,298,321,096,700
TeXit
01/23/2022 00:45:27
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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null
null
205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:45:32
Oh wait
1
0
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205,594
help-1
f2ff3d77869e4ffbba492e650c969a8c
401,842,339,590,570,000
PRIT
01/23/2022 00:45:34
Wait
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0
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