What is the derivative of the work function?

Rowan Bray

Rowan Bray

Answered question

2023-03-27

What is the derivative of the work function?

Answer & Explanation

pistuiescvzeb

pistuiescvzeb

Beginner2023-03-28Added 10 answers

It is dependent on the physical quantity being differentiated.
When considering the derivative with respect to time, it is, by definition, the power:
P = d W d t
If you consider the derivative of the work with respect to position, we have the following result, using the Fundamental Theorem of Calculus:
d W d x = d d x a x F ( x ) d x = F ( x )
Which is the force.
As long as the force is conservative, this last result can be generalized to higher dimensions.

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