Question

K=mv^2/2
Find derivative of k

Answer 1

`(dk)/(dv) = mv`

Explanation:

We are given that
`k = (m v^(2) )/(2)`.

This k represents the kinetic energy of a moving body with mass m and velocity v.

Therefore, the derivative of k with respect to v will be given by

`(dk)/(dv) = (1)/(2) * m * (2v) = mv` (Answer)

{While differentiating k with respect to v, the value of m is considered to be constant}