Where Did F = dp/dt Originate?

[NooDota]

Homework Statement

I was wondering how do you prove f = m*a, and my teacher said since F = dp/dt and p = m*v then F is m*a

But where did F = dp/dt come from? Does it have a mathematical proof?

Homework Equations

The Attempt at a Solution

 

[SteamKing]

Homework Statement

I was wondering how do you prove f = m*a, and my teacher said since F = dp/dt and p = m*v then F is m*a

But where did F = dp/dt come from?

It's a modern statement of Newton's Second Law of Motion, from the Principia:

https://en.wikipedia.org/wiki/Force

https://en.wikipedia.org/wiki/Newton's_laws_of_motion#Newton.27s_second_law

Does it have a mathematical proof?

No, it's a definition.