Formula:2091

Digital Library of Mathematical Functions ID 4.24.E11

${\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{arcsec}z=\pm\frac{1}{z(z^{2}-1)^{1/2}},}}$

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 $$x$$
• ${\displaystyle{\displaystyle\operatorname{arcsec}\NVar{z}}}$: arcsecant function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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