Find the derivative of

f (x) = (arccost) second power

1 - Derivative of arcsin x. The derivative of f (x) = arcsin x is given by

f ' (x) = 1 / sqrt (1 - x 2)

2 - Derivative of arccos x. The derivative of f (x) = arccos x is given by

f ' (x) = - 1 / sqrt (1 - x 2)

3 - Derivative of arctan x. The derivative of f (x) = arctan x is given by

f ' (x) = 1 / (1 + x 2)

4 - Derivative of arccot x. The derivative of f (x) = arccot x is given by

f ' (x) = - 1 / (1 + x 2)

5 - Derivative of arcsec x. The derivative of f (x) = arcsec x tan x is given by

f ' (x) = 1 / (x sqrt (x 2 - 1))

6 - Derivative of arccsc x. The derivative of f (x) = arccsc x is given by

f ' (x) = - 1 / (x sqrt (x 2 - 1))