Constructing new functions from old ones and calculating the derivative of the new function from the derivatives of the old functions:
From the table below calculate the quantities asked for:

$x$	$-2$	$4$	$2$	$-1$	$1$
$f(x)$	$19$	$-41$	$-5$	$4$	$-2$
$g(x)$	$-10$	$68$	$10$	$-2$	$2$
$f'(x)$	$-22$	$-34$	$-6$	$-9$	$-1$
$g'(x)$	$13$	$49$	$13$	$4$	$4$

$(f-g)'(-1)$
$(fg)(1)$
$f(-1)/( g(-1) +5)$
$(f+g)'(-1)$