Derivatives of Inverse Trigonometric Functions

d/dx (sin^-1x)

1 / sqrt(1 - x²)

d/dx (cos^-1x)

-1 / sqrt(1 - x²)

d/dx (tan^-1x)

1 / 1 + x²

d/dx (csc^-1x)

-1 / x sqrt(x² - 1)

d/dx (sec^-1x)

1 / x sqrt(x² - 1)

d/dx (cot^-1x)

-1 / 1 + x²