This document explains the chain rule for derivatives. It defines the chain rule formula as Y=u and Y'=u*du/dx, where u is a function within another function Y. The document provides an example of finding the derivative of Y=(2x^2+5x)^5 using the chain rule, calculating Y'=5(4x+5)(2x^2+5x)^4.

1. Chain Rule

2. Definition Y= (ax+c)^2 U=ax+c Du=a Y’=2a(ax+c) Y= u Y’= u du

3. Examples Y= (2x^2+5x)^5 Y’= 5(4x+5)(2x^2+5x)^4 Y’=(20x+25)(2x^2+5x)^4