How to pronounce “first derivative” in English

and how hard you threw it, that's its velocity.Or in other words, you need to know both the position and the first derivative of the position.- Similarly, to predict a quantum systems future state using the Klein-Gordon equation, you'd need the initial wave function and the initial first derivative of the wave function.

But notice, to find the solution, we now two integration constants, c and D.And the problem is that we can only find that if we know both y at a given time and if we know the first derivative of y at a given time.This makes sense physically, if you think about, say, throwing a ball in the air.

Or in other words, you need to know both the position and the first derivative of the position.- Similarly, to predict a quantum systems future state using the Klein-Gordon equation, you'd need the initial wave function and the initial first derivative of the wave function.Now, the beauty of the Schrodinger equation was that if you knew only the wave function of a system at a given time,

You go to a website and set it.You may be tracking whether it's too windy or too calm to sail your boats, wherever your boat is, or the first derivative of barometric pressure,or how your garden's not growing or-- But all of those were information that could packed into one pixel.