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help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:24:12
right
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
186,109,587,366,215,680
Omegabet_
03/24/2022 19:24:13
cause... the length doesn't change
0
1
null
null
null
null
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1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:24:28
dang the whole RHS would be 0 then?
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
186,109,587,366,215,680
Omegabet_
03/24/2022 19:25:16
yes.
0
1
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:25:59
i got -5/24
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:26:04
does that look right?
1
0
null
null
null
null
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1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
186,109,587,366,215,680
Omegabet_
03/24/2022 19:26:22
idk, cba to do the entire computation rn
0
1
null
null
null
null
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1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:26:30
oh lol
1
0
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null
null
null
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1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:27:02
would the 0.5 be positive or negative?
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:27:13
db/dt = -0.5 or 0.5?
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
258,747,298,463,350,800
+*
03/24/2022 19:27:43
@Omegabet_
1
0
null
null
null
null
null
1,464
help-10
8f51695a16d741d1aa31cc0faeca7f05
186,109,587,366,215,680
Omegabet_
03/24/2022 19:28:23
down is negative
0
1
null
null
null
null
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1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 19:50:45
Rotate L and determine the coordinates of L’
1
0
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 19:50:47
Use trig
1
0
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 19:51:04
https://cdn.discordapp.c…5C1C35690F35.jpg
8246FAB2-5406-408A-9B1C-5C1C35690F35.jpg
1
0
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 19:51:15
I just couldn’t get somewhere
1
0
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
510,789,298,321,096,700
TeXit
03/24/2022 19:55:59
https://cdn.discordapp.c…043511234560.png
252980043511234560.png
0
1
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null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:12:28
Let the angle between L and the x-axis be $\theta$. Let the angle between L' and the x-axis be $\theta'$. Denote the length of L and L' by $l$.
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
510,789,298,321,096,700
TeXit
03/24/2022 20:14:31
**Navix**
https://cdn.discordapp.c…051794391040.png
392341051794391040.png
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:14:54
$$\sin \theta = \frac{2}{l}$$ $$\cos \theta = \frac{3}{l}$$
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
510,789,298,321,096,700
TeXit
03/24/2022 20:14:57
**Navix**
https://cdn.discordapp.c…051794391040.png
392341051794391040.png
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:16:17
Now consider $\sin \theta'$ and $\cos \theta'$ and use the identities $$\sin(90 \, \mathrm{deg} - \theta) = \cos \theta$$ $$\cos(90 \, \mathrm{deg} - \theta) = \sin \theta$$
0
1
null
null
null
null
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1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
510,789,298,321,096,700
TeXit
03/24/2022 20:17:27
**Navix**
https://cdn.discordapp.c…051794391040.png
392341051794391040.png
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:26:32
If that doesn't tell you much, another simple way is to look at this red triangle:
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:26:37
https://cdn.discordapp.c…043511234560.png
252980043511234560.png
0
1
null
null
null
null
null
1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
392,341,051,794,391,040
Navix
03/24/2022 20:27:32
you can argue that the drawn angle is the same as the angle that L forms with the x-axis
0
1
null
null
null
null
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1,465
help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 20:39:10
@Navix sorry didn’t check my discord
1
0
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null
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help-10
d2469f8014a84d2ca6b5cb4931515055
870,281,092,270,272,500
angrytoast45
03/24/2022 20:39:18
Thanks a lot for the help <33
1
0
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null
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1,466
help-10
8cd3c774545e41318a698b1e7c8bea8a
477,702,654,991,269,900
archer
03/24/2022 21:29:15
https://cdn.discordapp.c…C51F5C867D7C.jpg
A5414C69-7296-42F7-8C42-C51F5C867D7C.jpg
1
0
null
null
null
null
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1,466
help-10
8cd3c774545e41318a698b1e7c8bea8a
477,702,654,991,269,900
archer
03/24/2022 21:29:17
Could someone please help with this
1
0
186,109,587,366,215,680
Omegabet_
9771
Omegabet_
false
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:04:43
can I get some help please
1
0
null
null
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null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:05:02
https://cdn.discordapp.c…_10.02.29_AM.png
Screenshot_2022-03-25_at_10.02.29_AM.png
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
684,674,576,998,858,800
kloser
03/24/2022 22:06:22
can you write the curved surface area in terms of r and h?
0
1
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
684,674,576,998,858,800
kloser
03/24/2022 22:06:28
then substitute r for 12-h
0
1
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:09:04
can you show me how you did it
1
0
null
null
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null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:09:06
like some working
1
0
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
186,109,587,366,215,680
Omegabet_
03/24/2022 22:09:20
Post your working
0
1
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:10:31
i didnt do any
1
0
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
186,109,587,366,215,680
Omegabet_
03/24/2022 22:10:37
so go attempt the problem
0
1
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:10:40
i am just confused
1
0
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:10:47
i have tried for the last hour
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
186,109,587,366,215,680
Omegabet_
03/24/2022 22:10:53
so post your work then
0
1
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:11:04
i have a test coming up and I dont know what im doing
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:11:14
i deleted it its on my ipad
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
186,109,587,366,215,680
Omegabet_
03/24/2022 22:11:33
Ok, so describe what you tried then?
0
1
null
null
null
null
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1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:12:03
i searched up the surface area of clynder
1
0
392,341,051,794,391,040
Navix
0001
nvx
false
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:12:10
and then i tried to plug in
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:12:15
but it was only rh not r+g
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:12:20
r+h i mean
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
684,674,576,998,858,800
kloser
03/24/2022 22:13:25
well imagine this as a hollow cylinder cut off the top and bottom unwrap the remaining area to form a rectangle (the area of this rectangle is the curved surface area) **find the sides of this rectangle.**
0
1
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:22:45
ohhhhh
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:22:48
i get it
1
0
null
null
null
null
null
1,467
help-10
e65298a02f864f85a98d1b08002d7e04
849,165,081,531,121,700
hwan17
03/24/2022 22:22:51
thanks
1
0
null
null
null
null
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1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:54:24
If to find maximum, we set differential of an equation = to 0. How to find minimum?
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:55:15
which diff eq?
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:55:35
but youre talking about the first derivative test, right?
0
1
null
null
null
null
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1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:56:08
Given an equation like 4x-x^3=y
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:56:11
for example
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:56:18
equals what
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:56:31
or just finding the max of that expression?
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:56:38
Yes, finding the max/min
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:56:48
well its a polynomial so
0
1
null
null
null
null
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1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:56:52
i know how to find max, but dont know to find min
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:56:55
odds are youll only get one or the other
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:00
but the same way
0
1
null
null
null
null
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1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:06
this function wont have a global minimum
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:11
only local
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:57:16
Global? Local?
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:20
yea
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:22
like
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:23
graph it
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:27
,w graph 4x-x^3
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
510,789,298,321,096,700
TeXit
03/24/2022 22:57:29
Results provided by WolframAlpha
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:38
imagine what is happening to the left and to the right
0
1
543,414,731,722,063,900
MoneyMaker
6903
MoneyMaker
false
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:45
this thing is shooting off to upper or negative infinity
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:57:50
Ye
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:56
that means
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:57:58
no global max or min
0
1
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:58:06
Oh
1
0
null
null
null
null
null
1,468
help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:58:06
but within a small region, if we restrict ourselves
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:58:13
we can find locally maximum places
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:58:31
so the first derivative test doesnt find if something is a max or a min or neither
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:58:38
it just finds where the rate of change is 0
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:58:49
it will find maxes, mins, and neithers, equally as well
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:04
second derivative test works okay
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help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 22:59:04
This refers to the turning point right?
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:08
yea
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:11
but it may not turn, too
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:16
consider x^3
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:21
neither max nor min at x=0
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:25
globally or locally
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 22:59:40
but first derivative test will return it
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help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 23:00:07
Oh yeah
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help-10
24f7c6836c984bc4b626ac2fc29e7061
543,414,731,722,063,900
MoneyMaker
03/24/2022 23:00:15
What does the second derivative test does?
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:20
you should look it up
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:26
its pretty straightforward
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:34
well it deals with concavity which is harder to picture
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:43
but its more or less the same as first derivative test
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:50
take a derivative, set it equal to something, find the place
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help-10
24f7c6836c984bc4b626ac2fc29e7061
331,558,346,333,224,960
jan Niku
03/24/2022 23:00:50
etc
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