Try applying the rule you came up with in the Warm-up to these functions.
\[\begin{align} y&=(2x-3)(x+2) \\ y&=(2-x)(x+3) \\ y&=(x+3)(1-2x) \\ y&=(3x+4)(2x-5) \\ y&=(3-2x)(5-3x) \end{align}\]- Does your original rule give you the correct derivative for these functions?
- If your original rule works for these functions, can you justify why? If not, then can you adapt your rule to make it work for all of the examples so far?
