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d/dx sin^-1
(1 / √(1 - x²))du/dx
d/dx cos^-1
(-1 / √(1 - x²))du/dx
d/dx tan^-1
(1 / (1 + x²))du/dx
d/dx cot^-1
(-1 / (1 + x²))du/dx
d/dx sec^-1
(1 / (|x|√(x² - 1)))du/dx
d/dx csc^-1
(-1 / (|x| √(x² - 1)))du/dx