Derivatives of Inverse Trigonometric Functions

Question 1

d/dx(arcsin(x))

Answer 1

1/sqrt(1 - x^2)

Question 2

d/dx(arccos(x))

Answer 2

-1/sqrt(1 - x^2)

Question 3

d/dx(arctan(x))

Answer 3

1/1 + x^2

Question 4

d/dx(arccot(x))

Answer 4

-1/1 + x^2

Question 5

d/dx(arcsec(x)) [not necessary]

Answer 5

1/|x|sqrt(x^2 - 1)

Question 6

d/dx(arccsc(x)) [not necessafry]

Answer 6

-1/|x|sqrt(x^2 - 1)