Chapter 14.2, Problem 42E

Derivative rules Suppose u and v are differentiable functions at t = 0 with $u(0)=\langle 0,1,1\rangle ,u\text{'}(0)=\langle 0,7,1\rangle ,v\text{(0)=}\langle 0,1,1\rangle$, and $v\text{'}\text{(0)=}\langle 1,1,2\rangle$. Evaluate the following expressions.

42. $\frac{d}{dt}{\left(u(\sin t)\right)|}_{t=0}$