If f is a differentiable function such that f′(x)≥6, find the largest value of so that f(4)≥ whenever f(2)=10. (Use decimal notation. Give your answer as exact number.)

  12

Step-by-step explanation:

If the slope of the function were exactly 6 on the interval between 2 and 4, then the increase on that interval from f(2) = 10 would be (4-2)·6 = 12. Since the slope is at least 6, the increase is at least 12, so = 10+12 = 22.