Difference between revisions of "Derivative of cosine integral"
From specialfunctionswiki
(Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z}\mathrm{Ci}(z) = \dfrac{\cos(z)}{z},$$ where $\mathrm{Ci}$ denotes the cosine integral. ==Proof=...") |
|||
| Line 2: | Line 2: | ||
The following formula holds: | The following formula holds: | ||
$$\dfrac{\mathrm{d}}{\mathrm{d}z}\mathrm{Ci}(z) = \dfrac{\cos(z)}{z},$$ | $$\dfrac{\mathrm{d}}{\mathrm{d}z}\mathrm{Ci}(z) = \dfrac{\cos(z)}{z},$$ | ||
| − | where $\mathrm{Ci}$ denotes the [[cosine integral]]. | + | where $\mathrm{Ci}$ denotes the [[cosine integral]] and $\cos$ denotes [[cosine]]. |
==Proof== | ==Proof== | ||
Latest revision as of 04:47, 7 July 2017
Theorem
The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z}\mathrm{Ci}(z) = \dfrac{\cos(z)}{z},$$ where $\mathrm{Ci}$ denotes the cosine integral and $\cos$ denotes cosine.
