Question

How would you find the 1/3 derivative of:

y=x^2 ?

Answer 1

As in 1/3 is the constant that is outside the derivative?

Answer 2

\[\Large \frac{2x}{\frac13}\]?something like that?

Answer 3

\[\frac{d^{1/3}}{dx^{1/3}}x^2\]

Answer 4

saifoo.khan is right

Answer 5

http://en.wikipedia.org/wiki/Fractional_calculus#Fractional_derivative_of_a_simple_function

Answer 6

Look at section:
Fractional derivative of a simple function

Answer 7

Yeah, i knew it had something to do with the Gamma function :)

Answer 8

FORREAL? @myko

Answer 9

so how would we go about implementing that?

Answer 10

No idea.

Answer 11

\[D^{1/3}[x^2]=\frac{\Gamma(2+1) }{\Gamma(2-\frac{1}{3}+1)}x^{2-\frac{1}{3}}\]

Answer 12

http://www.wolframalpha.com/input/?i=gamma%282%29%2Fgamma%283-1%2F3%29+x%5E%7B2-1%2F3%7D

i get this; but i still cant figure out how its spose to work