Читать книгу Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice) - Patrick Jones - Страница 32

487– 489 Solve the problem related to the mean value theorem.

487. If and for , what is the smallest possible value of ? Assume that f satisfies the hypothesis of the mean value theorem.

488. Suppose that for all values of x. What are the strictest bounds you can put on the value of ? Assume that f is differentiable for all x.

489. Apply the mean value theorem to the function on the interval to find bounds for the value of .