Answer:
[tex]\frac{dk}{dv} = mv[/tex]
Step-by-step explanation:
We are given that [tex]k = \frac{m v^{2} }{2}[/tex].
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
[tex]\frac{dk}{dv} = \frac{1}{2} \times m \times (2v) = mv[/tex] (Answer)
{While differentiating k with respect to v, the value of m is considered to be constant}