Difference between revisions of "Derivative of secant"
From specialfunctionswiki
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==Theorem== | ==Theorem== | ||
The following formula holds: | The following formula holds: | ||
| − | $$\dfrac{\mathrm{d}}{\mathrm{d}z} \ | + | $$\dfrac{\mathrm{d}}{\mathrm{d}z} \sec(z)=\tan(z)\sec(z),$$ |
| − | where $\ | + | where $\sec$ denotes the [[secant]] and $\cot$ denotes the [[cotangent]]. |
==Proof== | ==Proof== | ||
Revision as of 21:19, 21 September 2016
Theorem
The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \sec(z)=\tan(z)\sec(z),$$ where $\sec$ denotes the secant and $\cot$ denotes the cotangent.
