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derivative of arcsin(x)
1 / sqrt(1 - x^2)
derivative of arccos(x)
-1 / sqrt(1 - x^2)
derivative of arctan(c)
1 / (1 + x^2)
derivative of arccot(x)
-1 / (1 + x^2)
derivative of arcsec(x)
1 / |x| sqrt(x^2 - 1)
derivative of arccot(x)
-1 / |x| sqrt(x^2 - 1)