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547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:10:52
ok nice
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:10:56
i should really get more sleep
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
485,903,210,272,391,200
dldh06
02/07/2022 08:11:18
,w sqrt(2*sqrt(2*sqrt(2)))
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
510,789,298,321,096,700
TeXit
02/07/2022 08:11:20
Results provided by WolframAlpha
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
701,895,792,763,600,900
s_chanch
02/07/2022 08:11:32
we should all get sleep before math
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
701,895,792,763,600,900
s_chanch
02/07/2022 08:11:42
last night at 2:30 i struggled finding some infantile mistake
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
485,903,210,272,391,200
dldh06
02/07/2022 08:11:44
,w 2^(7/8)
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
510,789,298,321,096,700
TeXit
02/07/2022 08:11:46
Results provided by WolframAlpha
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
485,903,210,272,391,200
dldh06
02/07/2022 08:11:58
Math checks
0
1
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:12:06
lol same here
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:12:11
neat
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:12:13
thanks guys
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:13:13
imma close this now
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:13:17
https://media.discordapp…47700/bimgus.gif
1
0
null
null
null
null
null
547
help-10
b7ff1f591cff4064ba963bd3e66265e4
529,642,042,381,303,800
Desolate Intention
02/07/2022 08:13:42
.close
1
0
null
null
null
null
null
548
help-10
d027f43ccde94ee7a999911210e91168
289,836,801,953,234,940
temporary
02/07/2022 08:27:18
Why is e^2x differential shown like this on a graph
https://cdn.discordapp.c…32605_Desmos.jpg
Screenshot_20220207-132605_Desmos.jpg
1
0
null
null
null
null
null
548
help-10
d027f43ccde94ee7a999911210e91168
289,836,801,953,234,940
temporary
02/07/2022 08:27:51
And why doesnt this disprove that the differential of e^2x is not 2e^2x
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:02:42
.reopen
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:03:27
temporary
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:03:39
What is your issue with the graph?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:06:35
they do not touch at the minimum/maximum points
1
0
701,895,792,763,600,900
s_chanch
2633
s_chanch
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:06:56
there is no maximumm
0
1
485,903,210,272,391,200
dldh06
2659
dldh06
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:07:08
and no minimum either actually, only an asymptote
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:07:37
also why does the derivative have to have this property?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:08:12
ah i see
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:08:24
the differential is the rate of change at a point
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:08:37
because isnt the function of a derivative to find the min/maxi
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:08:48
ah okay
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:08:51
it can help, yes.
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:09:24
A 'nice' function would have f'(x)=0 at critical points
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:09:43
and (local) minima and (local) maxima are critical points
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:10:07
so if we derive the derivate of an e^ax function
1
0
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:10:11
what does that show ?
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:10:22
take the second derivative?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:10:25
or the first
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:10:27
yes
1
0
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:10:32
second
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:10:39
and the first actually
1
0
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:11:10
Ok, let's talk about continuous (at least twice) differentiable functions here
0
1
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:11:31
the first derivative is positive when the function increass
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:11:39
and negative when it decreases
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:11:47
yep
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:11:47
0 when it is flat
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:12:03
so if you know that your function is, say, quadratic
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:12:22
then by finding f'(x)=0 you find the tip of the parabola for example
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:12:41
which is the minimum if x^2 coefficient is positive
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:12:49
and maximum if it's negative
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:12:53
can you see that?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:13:20
this is for the 2nd derivative no ?
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:13:25
for the first
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:13:29
the first is always = 0
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:13:32
no
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:13:45
bro
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:13:55
please talk to your math teacher
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:14:08
But for now
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:14:16
what does a 0 derivative mean?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:14:27
when it's 0 for all inputs?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:14:44
.
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:14:51
tell me
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:15:39
the rate of change at a specific point is 0
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:15:44
okay
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:15:50
but you said always 0
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:15:59
for a quadratic
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:16:05
ok
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:16:12
forget about quadratics
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:16:14
for a sec
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:16:22
think in the abstract
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:16:42
what does a der = 0 on the entire domain mean ?
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:16:43
okok
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:17:16
the rate of change at every point is 0 ?
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:17:19
ok
0
1
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:17:27
so what type of function is that
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:17:34
linear
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:17:38
ok
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:17:38
no ?
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:17:43
but more specifically constant
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:17:49
slope = 0
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:18:02
it's not quadratic
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:18:21
well, aside from the degenerate case where all coefficients are 0
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:18:32
with the constant being anything
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:18:39
so 0x^2+0x+c
0
1
820,738,377,962,750,000
flr
3551
flr
false
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:18:52
but nobody means that when they say quadratic in general
0
1
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:18:59
right
1
0
null
null
null
null
null
549
help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:19:12
so derivative of a linear function is what
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:19:19
kx where k is constant
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:19:25
it's k
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:19:36
yep
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:19:44
what about x^2 ?
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:19:47
2x
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:19:51
great
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:20:17
so as you can see the derivative of a quadratic is nowhere near 0 for all values
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:20:48
i just remember the dy/dx of x^2 = 0 is something that we put in to find the minimum/maximum point
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:20:57
dy/dx is not = 0
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:20:59
whoops
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:01
no
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:02
look
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:10
it's 0 for that specific point
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
289,836,801,953,234,940
temporary
02/07/2022 09:21:11
yh okay
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:32
the point is that it's 0 at the tip of the parabola
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help-10
1680755c2c5a4b6bb59e0a3c43531e21
820,738,377,962,750,000
flr
02/07/2022 09:21:39
could you tell me why?
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