# What is the derivative of kinetic energy with respect to velocity?

##### 1 Answer

Dec 16, 2014

It's the linear momentum

The kinetic energy of a particle is defined as

It's derivative with respect to the the velocity

Since the mass

Knowing the derivative of a power function

This answer is valid if we consider the classical case. Taking into account relativistic effects gives us the same result, but the derivation is more complicated.