@thatblackchemist: Can you take the half derivative of a function? Share this video! Purchase my physics guide (link in bio)!

ThatBlackChemist
ThatBlackChemist
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Tuesday 08 September 2026 02:30:55 GMT
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🍄 ℝ𝕖𝕕𝕕𝕚𝕟𝕘 🍄‍🟫 :
Yes, there’s a whole field of calculus for this called fractional calculus and If I’m remembering correctly it has some physical applications. You can even take complex’th derivatives.
2026-09-08 03:11:14
613
byo3760
b-yo :
yes it is, don't ask me how tho
2026-09-10 14:20:04
0
jdhsjsjk1
shajdkha :
Derivative is a limit. The limit leans somewhere so a half derivative means that the limit has to lean somewhere but not completely so obviously it’s false
2026-09-08 10:07:51
24
ptta281
Parsa :
I learned linear algebra in first grade
2026-09-08 04:12:36
121
the.kencyclopedia
Kenneth :
“To the half power” is the wrong angle for it tho. You’d want your half derivative to operate in a way such that two half derivatives on f(x) yields f’(x). There’s a video on it that explains the math (working out the power rule by yourself is a cool exercise), but the big point lies in the fact we don’t have like a geometrical interpretation of the math, if memory serves correct.
2026-09-08 16:16:38
4
learner11235
learner11235 :
Maybe the half derivative with respect to time of force kg*m/s^2 would be kg*m/s momentum
2026-09-09 00:01:18
1
physicsdemo
Physicsdemo :
you derive the generic nth derivative then plug in one half. Also works for negative numbers , negative derivatives are integrals.
2026-09-09 02:32:12
4
ihatewinters
evi :
fractional calculus diddyblud
2026-09-08 06:22:27
9
piingponng
Rayan :
yea through cauchy’s repeated integration formula
2026-09-08 04:05:33
0
_pantagruel
Ima :
There's this new trend on tiktok where I usually watch videos to learn something I didn't know existed. Now instead I get asked questions I didn't know I needed to answer.
2026-09-08 15:15:01
3
soantanny
Kdotlover911 :
is it possible to do well I my stem classes by studying one hour per class 6x a week (chem 1,physics 1 and calc 1 although I already took AP calc before)
2026-09-08 04:05:01
1
wqi0o0ipw
Wqi0o0ipW :
wdym d^0,5y? dy is one thing you cant separate d and y
2026-09-09 12:11:00
0
captainkalus
CaptainKalus :
isnt that just an integral?
2026-09-08 03:53:45
1
umyeawhatever
Lol :
Yea just differentiate once and then do a half integral using Cauchy’s formula for repeated integration
2026-09-08 07:36:45
3
thatbigthinginthesky
The Moon :
Can I take an intergral with respect to the degree of the derivative?
2026-09-08 05:22:51
1
castiel12334
Castiel123 :
What about the i derivative?
2026-09-08 12:59:15
3
neighneighthea
Thea!! :
That’s what I used to think a partial derivative was before physics/calc
2026-09-08 17:35:26
1
ᅠᅠᅠ
alex :
actually not that deep, just use a fourier transform to define fractional derivatives
2026-09-08 19:02:38
1
zentralverriegelung
λ :
You actually sent me into a deep dive. That’s an incredibly interesting subject. And there are actually applications for it. So the $1{,}5$ -order derivative of position is a weighted record of past acceleration. So newer acceleration is weighted more heavily. For frequencies it can mean a variable change in phase. It can help calculate viscoelastic materials that are neither liquid nor stiff. It’s also used in Diffusion of complex materials such as biological cells. And so much more
2026-09-08 20:07:46
1
toekneerios
toekneerios :
infinite number of derivatives
2026-09-09 05:06:51
0
curator_of_leptons
Curator_of_Leptons :
yes, it's called fractional derivatives. I don't think I ever learned what their uses were for, but yes you can
2026-09-09 02:14:18
0
christopherjwashington
Christopher The Scientist :
You’re adorable
2026-09-09 03:48:39
0
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