net change of a function

Question

a function is given

g(x)=2/(x+7); x=0,x=h

what is the net change between the given value of the variable?

Answer 1

2/(h+7)-2/7

=[14-2h-14]/7(h+7)

=[-2h]/[7h+49]

notice that d([2/(x+7)]dx= -2/(x+7)²

at x=0, derivative = -2/49

lim h->0 [2/(h+7)-2/7]/h,,,,,,corrected had x->0 instead of h

= -2/49