Can you give an example of using the chain rule for differentiation? Example: Let y=(6 + 2x + 2x^2)^3, find dy/dx.

The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x²then, y=u³ thus, dy/dx=(3u²)(2+4x) = (3(6+2x+2x²)²)(2+4x). Example does not ask to simplify expression or evaluate at any particular value of x, so we have found the solution! There are some formatting issues here that will not be an issue with a whiteboard