?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Mean Value Theorem: Finding $c$ for a Rational Function

APCALC-8G2KN$

Which of the following values of $c$ satisfies the conclusion of the Mean Value Theorem for the function $f\left( x \right) =\cfrac { 1 }{ x } $ on the closed interval $[1,4]$?

A

$-2$ and $2$

B

$-2$

C

$1$

D

$2$