Primitive of Reciprocal/Corollary 2

Corollary to Primitive of Reciprocal

 * $\displaystyle \frac {\mathrm d}{\mathrm dx} \ln \left\vert{x}\right\vert = \frac 1 x$

for $x \ne 0$.

Proof
Follows directly from Primitive of Reciprocal.