MAT137Y1 Lecture 3: 3.6 Proof of the product rule for derivates

19. Let fbe integrable on [a, b], let c be in (a, b), and let (l cach of the following statements, give either a proof or a (a) If f is differentiable at c, then F is differentiable at c. (b) If f (c) If f' is continuous at c, then F is continuous at c. is differentiable at c, then F" is continuous at c.