Difference between revisions of "Derivative of sech"

From specialfunctionswiki
Jump to: navigation, search
Line 9: Line 9:
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
 +
[[Category:Unproven]]

Revision as of 07:05, 9 June 2016

Theorem

The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{sech}(z)=-\mathrm{sech}(z)\mathrm{tanh}(z),$$ where $\mathrm{sech}$ denotes the hyperbolic secant and $\mathrm{tanh}$ denotes the hyperbolic tangent.

Proof

References