ABSTRACT
Similar arguments may be used to determine the derivatives of the other
inverse trigonometric functions, and they lead to the results listed below.
SUMMARY OF DERIVATIVES OF INVERSE TRIGONOMETRIC
FUNCTIONS
d
dx
arcsin
x
a
(a2 x2)1=2 , ½x=a½01, p=20arcsin
x
a 0p=2,
d
dx
arctan
x
a
a
a2 x2 , ½x½B, p=2Barctan
x
a Bp=2,
d
dx
arcsec
x
a
a
½x½(x2 a2)1=2 , ½x=a½E1, 00arcsec
x
a 0p ("p=2):
The three derivatives which follow are comparatively unimportant because they only differ from those above by a change of sign.
