Derivative of Riemann Zeta Function

Theorem
The derivative of the Riemann zeta function is:


 * $\displaystyle \zeta' \left({z}\right) = \frac{\mathrm d \zeta}{\mathrm dz} = -\sum_{n \mathop = 2}^\infty \frac{\ln \left({n}\right)}{n^z}$