Derivatives of Inverse Functions

Question 1

Derivative of arcsin x

Answer 1

1/ sqrt(1-x^2)

Question 2

Derivative of arccos x

Answer 2

• 1/ sqrt (1-x^2)

Question 3

Derivative of arctan x

Answer 3

1/(1+x^2)

Question 4

Derivative of arccot x

Answer 4

-1/ (1+x^2)

Question 5

Derivative of arcsec x

Answer 5

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

Question 6

Derivative of arccsc x

Answer 6

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