Formula:2405

Digital Library of Mathematical Functions ID 4.38.E12

${\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{arccsch}z=\mp\frac{1}{z(1+z^{2})^{1/2}},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re z\gtrless 0}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\operatorname{arccsch}\NVar{z}}}$: inverse hyperbolic cosecant function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle z}}$: complex variable
 

Resources that cite this formula

No records found.