Chapter 14.2, Problem 3QC

Let $u(t)=\langle t,t,t\rangle$ and $v(t)=\langle 1,1,1\rangle$ compute $\frac{d}{dt}\left(u(t)\cdot v(t)\right)$ using Derivative Rule 5, and show that it agrees with the result obtained by first computing the dot product and differentiating directly.