How to use the chain rule of the reciprocal function

The video tutorial explains how to identify inside and outside functions, calculate derivatives, and apply the chain rule. It begins with defining functions F of X and G of X, then moves on to derivatives and rewriting expressions. The chain rule is applied by substituting G of X into F prime, leading to the final answer for H prime of X. The tutorial concludes with a summary of the process.

Explain the significance of the expression -1 / (X + 13)^2 in the context of the chain rule.

What is the final expression for H prime of X as mentioned in the text?