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1 / sqrt(1 - x^2)
d/dx[arccos(x)]
-1 / sqrt(1 - x^2)
d/dx[arctan(x)]
1 / (1 + x^2)
d/dx[arccot(x)]
-1 / (1 + x^2)
d/dx[arcsec(x)]
1 / (abs(x) * sqrt(x^2 - 1))
d/dx[arccsc(x)]
-1 / (abs(x) * sqrt(x^2 - 1))