Deriving of the differential d(1/2v^2)/dx

[Procrastinate]

Hi, I was wondering if someone could show me how this was derived from dv/dt? I was trying to look in my notes but I think I may have copied something down wrong. This isn't a homework question but I just like to know how it works.

Thank you.

d(1/2v²)/dx

 

[Hurkyl]

It's just an application of your rules of differentiation...