An inequality

a. Show that for every value of x.

b. Suppose that ƒ is a function whose derivative is

Use the result in part (a) to show that for any a and b.

Step 1 of 4:

In this problem, we need to show that the inequality for every value of x.

Step 2 of 4:

(a):

We know that for all we have that for all and then since we have that for all

Similarly we can suppose that for all we have that for all and then since we have that for all

Hence we get