Inverse Trignometric Derivatives

Question 1

d/dx sin⁻¹(x) =

Answer 1

1/√(1-x^2)

Question 2

d/dx cos⁻¹(x) =

Answer 2

-1/√(1-x^2)

Question 3

d/dx tan⁻¹(x) =

Answer 3

1/(1+x^2)

Question 4

d/dx csc⁻¹(x)

Answer 4

-1/(|x|*√x^2 -1)

Question 5

d/dx sec⁻¹(x)

Answer 5

1/(|x|*√x^2 -1)

Question 6

d/dx cot⁻¹(x)

Answer 6

-1/(1+x^2 )