Nth derivative of logarithm
From specialfunctionswiki
Theorem
The following formula holds: $$\dfrac{\mathrm{d}^n}{\mathrm{d}z^n} \log(z)=(-1)^{n-1}(n-1)! z^{-n},$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.47$
