by Qubit Factory
Derivative of an inverse:
Smith: Hmm.. The derivative of an inverse is the derivative of f-inverse composite f-inverse of x?
Alam: The derivative of an inverse is the inverse of the composite of the derivative with the inverse.
Smith: So ’tis the composite of the derivative f-inverse with the f-inverse?
Alam: ‘Tis one divided by the derivative of f(x) composited with the f-inverse of x.