Limited access

Upgrade to access all content for this subject

List Settings
Sort By
Difficulty Filters
Page NaN of 1946

A continuous function $f(x)$ is defined on the set of all real numbers. Consider the closed interval $[a, b]$, with $ a < c < b $.

If $f’ (c) = 0$ and $f'' (x) > 0$ on the interval $[a,\,b]$, then which of the following must be TRUE?

A

There are local maxima at both $x=a$ and $x =b$.

B

$f$ is differentiable for all real numbers.

C

$f(c)$ is a local minimum.

D

$f(c)$ is a local maximum.

Accuracy 0%
Select an assignment template