If f'(x) > 0 for all x, then
a) f(x1) > f(x2) for every x1 > x2
b) f(x1) < f(x2) for every x1 > x2
c) f(x1) > f(x2) for every x1 < x2
d) f(x1) = f(x2) for every x1 < x2
If f'(x) > 0 for all x, then the function must be always increasing from left to right
Thus...if x1 > x2
Then f(x1) > f(x2)
So...