Derivatives of Inverse Trig Functions

d/dx sin^-1 (x)

1/sqrt{1-x²}

d/dx tan^-1 (x)

1/x²+1

d/dx sec^-1 (x)

1/ |x|sqrt{x²-1}

d/dx cos^-1 (x)

-1/sqrt{1-x²}

d/dx cot^-1 (x)

-1/sqrt{x²+1}

d/dx csc^-1 (x)

-1/ |x|sqrt{x²-1}