- #1
hedlund
- 34
- 0
Let y = x^p where p is a natural number. Is it true that
[tex] \frac{dx^n}{d^ny} = \frac{p!}{(p-n)!} \cdot x^{p-n} [/tex] with the restriction that we define [tex] (-n)! \equiv \infty [/tex] for n=1,2,3... I found this formula and I believe that it is true if we define [tex] (-n)! [/tex] to equal [tex] \infty [/tex].
[tex] \frac{dx^n}{d^ny} = \frac{p!}{(p-n)!} \cdot x^{p-n} [/tex] with the restriction that we define [tex] (-n)! \equiv \infty [/tex] for n=1,2,3... I found this formula and I believe that it is true if we define [tex] (-n)! [/tex] to equal [tex] \infty [/tex].