This page introduces the names used for inverse trigonometric functions in each target CAS. The derivatives of the inverse trig functions are also computed in each CAS.
In MATLAB (and Octave) the inverse trig functions are asin(), acos(), atan(), acot(), asec() and acsc(). Their derivatives may be computed with the symbolic toolbox diff() command.
>> syms x >> diff([asin(x) ; acos(x) ; atan(x) ; acot(x) ; asec(x) ; acsc(x)]) ans = 1/(1 - x^2)^(1/2) -1/(1 - x^2)^(1/2) 1/(x^2 + 1) -1/(x^2 + 1) 1/(x^2*(1 - 1/x^2)^(1/2)) -1/(x^2*(1 - 1/x^2)^(1/2))
In Mathematica the inverse trig functions are ArcSin[], ArcCos[], ArcTan[], ArcCot[], ArcSec[] and ArcCsc[]. Their derivatives may be computed with the D[] command.
In Sage the inverse trig functions are arcsin(), arccos(), arctan(), arccot(), arcsec() and arccsc(). Their derivatives may be computed with the diff() command.