Product rule for derivatives of operators

[sridhar]

I ve been trying to derive this for some time now.
The rule is similar to the one for simple math derivatives.
d/dx(A^B^)=dA^/dx B^ + A^ dB^/dx
Is the derivation on similar lines. Any directions??

 

[Avodyne]

Just use the fundamental definition of the derivative in terms of a limit as Delta x goes to zero.

 

[sridhar]

ya. it takes time to get used to operator algebra!