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I am working on a derivation of of the power equation. It is very simple, I would like to know if it is correct.

I started with the equation for mechanical work over a changing path, and changing force. This is from Wikipedia, and it agrees with my text.

W = [tex]\int[/tex]

**F**

_{º}d

**s**

where:

_{º}is the symbol for dot product

**F**is the force vector; and

**s**is the position vector.

Then to make it power I just put (1/delta t) in front of it to make:

P = [tex]\frac{1}{\Delta t}[/tex] [tex]\int[/tex]

**F**

_{º}d

**s**

Let me know if this checks out.

Thanks!