Differentiation of compression factor

[yungwun22]

Homework Statement

The problem reduces the derivative (dZ/d(1/V)) to (dZ/dV) x (dV/d(1/V)), where Z is the compression factor and v is molar volume. It further shows that it equals -V^2(dZ/dV). I don't know how they arrived at that value because by my logic it should be 1/(-V^2).

Homework Equations

The Attempt at a Solution

 

[gabbagabbahey]

A simple substitution of the form u=1/V should be enough to prove to you that dV/(d(1/V))=-V^2.