# What is the derivative of the work function?

##### 1 Answer

Jan 2, 2015

It depends with respect to what physical quantity you're differentiating.

If you consider the derivative with respect to time, it is the power, by definition:

If you consider the derivative of the work with respect to position, we have the following result, using the Fundamental Theorem of Calculus:

Which is the force.

This last result can be generalized to higher dimensions, as long as the force is conservative.