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# Higher Order Derivatives: Interpreting the Second Derivative

APCALC-RQHSIY

If $f^{ \prime \prime }\left( x \right) =-2$, then we may conclude that

A

$f(x)$ is a constant function.

B

$f(x)$ is everywhere decreasing.

C

$f(x)$ is always concave down.

D

$f^{ \prime }\left( x \right)$ is always negative.