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d/dx [sin^-1(u)]
u' / sqrt(1 - u^2)
d/dx [cos^-1(u)]
-u' / sqrt(1 - u^2)
d/dx [tan^-1(u)]
u' / (u^2 + 1)
d/dx [cot^-1(u)]
-u' / (u^2 + 1)
d/dx [sec^-1(u)]
u' / (|u| * sqrt(u^2 - 1))
d/dx [csc^-1(u)]
-u' / (|u| * sqrt(u^2 - 1))