Given f(x)=10-(16/x) finas all c in the interval [2,8] that satisfies the mean value theorem

F'(c)=[ f(b)-f(a) ] / b-a      in interval [a,b]

find f(2) or f(a) and find f(8) or f(b)

plug it into f'(c) that is above

once you find that find f'(x) and set it equal to f'(c) that you found in the previous step solve for x, or replace with c and that is your answer