### Home > CALC > Chapter 8 > Lesson 8.3.1 > Problem 8-104

8-104.

**Multiple Choice: **If

*F*′(5) = 2*F*(−7) >*F*(5)*F*is concave downwarda. I only

b. II only

c. I and III

d. II and III

e. I and II

I. Recall that the derivative of an integral gives you the original function (FTC, part 1).

Which is greater?

III. The derivative of the integral, *F*(*x*), gives you the original function, *f*(*x*). So, the derivative of the original function will give you the 2nd-derivative of *F*(*x*).