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hedlund
Oct8-04, 02:55 PM
Let y = x^p where p is a natural number. Is it true that
\frac{dx^n}{d^ny} = \frac{p!}{(p-n)!} \cdot x^{p-n} with the restriction that we define (-n)! \equiv \infty for n=1,2,3... I found this formula and I believe that it is true if we define (-n)! to equal \infty .

mathman
Oct8-04, 04:20 PM
Your answer is correct, although you wrote the derivative upside down. The definition you used for (-n)! is the standard one.