Chapter 4.3, Problem 44E

Consider the following table of values of the functions $\mathit{f}$ and $\mathit{g}$ and their derivatives at various points.

$\mathit{x}$	$1$	$2$	$3$	$4$
$f\left(x\right)$	$2$	$4$	$1$	$3$
$f^{\text{'}}\left(x\right)$	$-6$	$-7$	$-8$	$-9$
$g\left(x\right)$	$2$	$3$	$4$	$1$
$g^{\text{'}}\left(x\right)$	$2/7$	$3/7$	$4/7$	$5/7$

Find the following using the table above.

a. $D_x\left(g\left[f\left(x\right)\right]\right) at x=1$

b. $D_x\left(g\left[f\left(x\right)\right]\right) at x=2$