Homework Help: Finding derivative of 1/x^n

1. Aug 11, 2006

mbrmbrg

If you want to take the derivative of $$\frac{1}{x^n}$$ do you turn it into x^-n and go from there or somhow use the fact that the anti derivative of 1/x is ln x?

Last edited: Aug 11, 2006
2. Aug 11, 2006

HallsofIvy

The fact that "the anti derivative of 1/x is ln x" is irrelevant to the anti-derivative of $\frac{1}{x^n}$. Write as x-n. Because $\frac{1}{x^n}= x^{-n}$, the anti-derivative of 1 is the anti-derivative of the other.

3. Aug 11, 2006

Thanks!