Derivatives of Inverse Trigonometric Functions

Here are the derivatives of inverse trigonometric functions.

• If y = sin^-1 x, y’ = 1 / √(1−x²)

• If y = cos^-1 x, y’ = −1 / √(1−x²)

• If y = tan^-1 x, y’ = 1/ (1+x²)

• If y = cot^-1 x, y’ =−1/(1+x²)

• If y = sec^-1 x, y’ = 1 / x√(x²−1)

• If y = cosec^-1 x, y’ = −1 / x√(x²−1)