The graph of $f(x)$
is given in the following figure.What happens to $f^{\prime}(x)$
at the point $x_{1}$
?
A) $f^{\prime}(x)$ has an inflection point.
B) $f^{\prime}(x)$ has a local minimum or maximum.
C) $f^{\prime}(x)$ changes sign.
D)none of the above

Question

The graph of $f(x)$
 is given in the following figure.What happens to $f^{\prime}(x)$
 at the point $x_{1}$
 ?  
A) $f^{\prime}(x)$ has an inflection point. 
B) $f^{\prime}(x)$ has a local minimum or maximum. 
C) $f^{\prime}(x)$ changes sign. 
D)none of the above

Quizplus · Accepted Answer

The Answer of The graph of $f(x)$
 is given in the following figure.What happens to $f^{\prime}(x)$
 at the point $x_{1}$
 ?  
A) $f^{\prime}(x)$ has an inflection point. 
B) $f^{\prime}(x)$ has a local minimum or maximum. 
C) $f^{\prime}(x)$ changes sign. 
D)none of the above

The Graph Of f(x)f(x)f(x) Is Given in the Following Figure f′(x)f^{\prime}(x)f′(x) At the Point

The Graph Of $f(x)$ Is Given in the Following Figure $f^{\prime}(x)$ At the Point