Proving the product rule for inner product time derivatives

[teme92]

Homework Statement

Show, using the definition, that $\frac{d}{dt}\langle \emptyset(t)|\psi(t)\rangle=\langle \frac{d}{dt}\emptyset(t)|\psi(t)\rangle+\langle \emptyset(t)|\frac{d}{dt}\psi(t)\rangle$

Homework Equations

The Attempt at a Solution

I'm looking at this and I have no idea where to begin. Could someone please help me with how I'm supposed to start this. Any help would be much appreciated.

 

[Dr. Courtney]

The (unstated) definition i question likely provides one of the relevant equations. Beyond that, it looks like a bit of calculus.

 

[teme92]

It doesn't state what the definition is but based on the $\psi(t)$ I'd guess its somthing to do with the wave function. I'm thinking that the question isn't as complicated as I thought and its just the product rule.

 

[George Jones]

What is the definition of $\left< \phi \left(x,t\right) | \psi \left(x,t\right) \right>$?

 

[teme92]

Hi George I found a solution to the problem, thanks for the help.