Derivative of Inverse Trigonometric Functions

Question 1

Dx [sin-1 x] =

Answer 1

1 / √(1 – x^2)

Question 2

Dx [cos-1 x] =

Answer 2

-1 / √(1 – x^2)

Question 3

Dx [tan-1 x] =

Answer 3

1 / 1 + x^2

Question 4

Dx [cot-1 x] =

Answer 4

-1 / 1 + x^2

Question 5

Dx [sec-1 x] =

Answer 5

1 / x√(x^2 – 1)

Question 6

Dx [csc-1 x] =

Answer 6

• 1 / x√(x^2 – 1)