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:

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

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