Derivatives of Inverse Trigonometric Functions

Question 1

d/dx (sin-1x)

Answer 1

1/√1-x²

Question 2

d/dx(cos-1x)

Answer 2

-1/√1-x²

Question 3

d/dx(tan-1x)

Answer 3

1/(1+x²)

Question 4

d/dx(csc-1x)

Answer 4

-1/(|x|√x²-1)

Question 5

d/dx(sec-1x)

Answer 5

1/(|x|√x²-1)

Question 6

d/dx(cot-1x)

Answer 6

-1/(1+x²)