Derivatives of inverse trigonometric functions

Question 1

d/dx (sin^ -1 x)

Answer 1

1/ sqrt(1- x^2 )

Question 2

d/dx (cos^-1 x)

Answer 2

• 1/ sqrt(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 sqrt(x^2 -1)

Question 5

d/dx (sec^-1 x)

Answer 5

1/ x sqrt(x^2 -1)

Question 6

d/dx (cot^-1 x)

Answer 6

• 1/ 1+ x^2