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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:09:12
Not sq(7)
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help-1
19fa3043e8054c0787eb4ba2d6019109
510,789,298,321,096,700
TeXit
01/18/2022 09:09:23
**Luca**
https://cdn.discordapp.c…607071440896.png
212479607071440896.png
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help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:09:33
and then
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0
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:10:10
Use product rule
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help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:10:15
$e^w\bigg |_0^{\sqrt{7}}-\int_0^{\sqrt{7}} e^w$
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help-1
19fa3043e8054c0787eb4ba2d6019109
510,789,298,321,096,700
TeXit
01/18/2022 09:10:34
**Luca**
https://cdn.discordapp.c…607071440896.png
212479607071440896.png
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:11:03
I forgot the mnemonics
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:11:05
What was it
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:11:13
For the product rule
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:11:17
Uhhh
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help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:12:19
$\int u'(x)v(x)dx = u(x)v(x)-\int u(x)v'(x)dx$
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help-1
19fa3043e8054c0787eb4ba2d6019109
510,789,298,321,096,700
TeXit
01/18/2022 09:12:22
**Luca**
https://cdn.discordapp.c…607071440896.png
212479607071440896.png
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:12:31
Ik but there was a rule
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:12:44
Which term to take as u(x) and which to take as v(x)
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:13:27
$\frac{2}{3}\left(we^w\bigg |_0^{\sqrt{7}}-\int_0^{\sqrt{7}} e^w\right)$ forgot the fraction before
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:13:57
In this case e^w is nice to take as u'
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:14:40
Got it
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:14:49
I LATE C
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help-1
19fa3043e8054c0787eb4ba2d6019109
510,789,298,321,096,700
TeXit
01/18/2022 09:14:51
**Luca**
https://cdn.discordapp.c…607071440896.png
212479607071440896.png
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:15:30
Inverse trigonometric , logarithmic , algebraic , trigonometry, exponential , constant
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:15:34
I LATE C
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:15:40
excuse me what?
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:15:53
This is the order
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:16:00
When u do integration by parts
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:16:07
is this right?
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:16:08
Priority is highest at left
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:16:14
Lowest at right
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:16:17
okay
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:17:30
So w gets priority over e^w
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:17:41
Since algebraic is before exponential
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:19:47
okay, I still don't get how to proceed from $\int e^{\sqrt{u}}$ tbh
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help-1
19fa3043e8054c0787eb4ba2d6019109
510,789,298,321,096,700
TeXit
01/18/2022 09:19:58
**Luca**
https://cdn.discordapp.c…607071440896.png
212479607071440896.png
0
1
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:20:35
Put w^2 = u
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:20:40
and whats du
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:20:41
Differentiate both sides
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:20:54
Bruh brb
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:22:52
https://cdn.discordapp.c…151BDCA108BA.jpg
83837DF1-1987-4431-B956-151BDCA108BA.jpg
0
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:22:53
Did u get this much
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:22:57
We substituted twice
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:23:28
And we changed the limit twice
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:23:36
how is 2wdw =du
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:23:45
I differentiate both sides
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:23:52
Of w^2 = u
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:24:07
I don't get the whole d thing
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:24:16
d is the derivative ?
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:24:37
The thing with respect to which u integrate ?
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:24:44
If u don’t write that , u lose marks
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:24:45
In exam
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:24:50
yeah, but we learned that we would take the derivative of the left side and this would be dw/du
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:24:56
Yes
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:25:10
oh
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:25:11
I get it
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:25:23
confusing though
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:25:27
So what do u get when u take derivative of w^2 = u
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:25:33
It’s not confusing
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:25:39
I just moved du to RHS
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:25:39
so if f(x) = x f'(x)=dx?
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:25:57
Wot
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help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:26:13
This is not a function of x
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:26:26
no just as an example
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:26:34
Ik
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:26:42
I am sorry if you are getting frustrated
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:26:44
But what u mean by this
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:26:52
I’m not getting frustrated
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:26:53
Dw
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:26:57
I dont get the whole d thing
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:01
when do you use d
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:06
what does d even mean
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:12
we never learned this notation
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:23
it was just noted at some point we just learned
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:27:26
Wait
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:32
f(x)=x f'(x)=1
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:36
and all the rules obvs
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:27:40
You didn’t learn derivatives yet
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:45
yes we did
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:27:47
And u went straight to integrals ?
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:50
no
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:27:55
we learned derivatives
1
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:27:58
Then d is the basis of derivatives
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:28:05
but the d thing was never really mentioned
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:28:08
just as a side thing
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:28:10
Wot how
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19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:28:16
its just like
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19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:28:19
Derivatives are literally dy/dx = something
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:28:38
this is your function f(x) and then you have f'(x) and f''(x) and so on and boom, there you go
1
0
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:28:44
nothing, with dx d dy
1
0
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:28:48
Lol
0
1
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:29:03
f’(x) is called dy/dx
0
1
null
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null
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:29:11
why is that?
1
0
null
null
null
null
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:29:13
U teacher never told u the dy/dx notation ?
0
1
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null
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:29:27
he mentioned it, but didnt went into detail
1
0
null
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null
null
null
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:29:44
https://tenor.com/view/family-guy-peter-griffin-shoot-him-gif-14044244
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1
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:29:54
idk, my professor seems very competent
1
0
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:30:07
Bruh
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:30:31
Ok what is f’(x)
0
1
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null
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:30:33
Tell me
0
1
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:31:08
I found it in my Uni stuff. In the lecture the slide where it was on it was mentioned as "different ways to write this"
1
0
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:31:23
well, what is f(x)
1
0
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205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
212,479,607,071,440,900
Luca
01/18/2022 09:31:37
can't tell you whats f'(x) without f(x)
1
0
null
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null
205,483
help-1
19fa3043e8054c0787eb4ba2d6019109
869,532,694,688,706,600
EpsilonNought
01/18/2022 09:31:48
F(x) is a function of x
0
1
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