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

$(f-g)'(-1)$ =

$(fg)(1)$ =

$\dfrac{f(-1)}{g(-1) +5}$ =

$(f+g)'(-1)$ =

You can earn partial credit on this problem.