# Given P = 1 / V, find the average rate of change with respect to V.

## Question:

Given {eq}\displaystyle P = \frac{1}{V} {/eq}, find the average rate of change with respect to {eq}V. {/eq}

## Application of Differentiation

This question is from the application of differentiation and we have to find out the average rate of change with respect to V.

{eq}\Rightarrow \ P=\frac{1}{V}\\ \text{Differentate with respect to V}\\ \Rightarrow \ \frac{dP}{dV}=-\frac{1}{V^{2}}\\ Hence,\\ \text{The rate of change of P }=-\frac{1}{V^{2}}\\ {/eq}