Building blocks

## Warm-up

Differentiate these functions and compare the results with the original functions.

\begin{align} y&=(x+2)(x+3) \label{eq 1}\\ y&=(x+2)(x-1) \label{eq 2} \end{align}
• What do you notice?

If you don’t notice anything, or you want to check out whether there is a pattern emerging you could try a few more examples of your own.

• Can you create a rule to find the derivative of a function like this without expanding the brackets?