Inverse Function Rule
If f and g are inverse functions, that is to say,
. Then:
![]()
Examples
Differentiate, using the derivative of the inverse function: y = arcsin x
![]()

Differentiate, using the derivative of the inverse function: y = arctan x.
![]()
![]()
If f and g are inverse functions, that is to say,
. Then:
![]()
Differentiate, using the derivative of the inverse function: y = arcsin x
![]()

Differentiate, using the derivative of the inverse function: y = arctan x.
![]()
![]()