### Home > CALC > Chapter 8 > Lesson 8.3.1 > Problem8-104

8-104.

Multiple Choice: If $F ( x ) = \int _ { 0 } ^ { x } \sqrt { 9 - t } d t$, which of the following statements are true?

1. $F^\prime(5) = 2$

1. $F(−7) > F(5)$

1. $F$ is concave downward

1. I only

1. II only

1. I and III

1. II and III

1. 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 $F(x)$.