A function and its graph are given. Use the second derivative to locate all x-values of points of inflection on the graph of $y = f ( x )$ . Check these results against the graph shown. $$y = 18 x ^ { 4 } - 54 x ^ { 2 } + 36$$
A) $x = - \frac { \sqrt { 2 } } { 2 }$
B) $x = 0$
C) $x = \frac { \sqrt { 2 } } { 2 }$
D) $x = \frac { \sqrt { 2 } } { 2 }$ , $x = - \frac { \sqrt { 2 } } { 2 }$
E) $x = - \frac { \sqrt { 2 } } { 2 }$ , $x = 0$ , $x = - \frac { \sqrt { 2 } } { 2 }$

Question

A function and its graph are given. Use the second derivative to locate all x-values of points of inflection on the graph of $y = f ( x )$ . Check these results against the graph shown. $$y = 18 x ^ { 4 } - 54 x ^ { 2 } + 36$$ 
A) $x = - \frac { \sqrt { 2 } } { 2 }$ 
B) $x = 0$ 
C) $x = \frac { \sqrt { 2 } } { 2 }$ 
D) $x = \frac { \sqrt { 2 } } { 2 }$ , $x = - \frac { \sqrt { 2 } } { 2 }$ 
E) $x = - \frac { \sqrt { 2 } } { 2 }$ , $x = 0$ , $x = - \frac { \sqrt { 2 } } { 2 }$

Quizplus · Accepted Answer

The Answer of A function and its graph are given. Use the second derivative to locate all x-values of points of inflection on the graph of $y = f ( x )$ . Check these results against the graph shown. $$y = 18 x ^ { 4 } - 54 x ^ { 2 } + 36$$ 
A) $x = - \frac { \sqrt { 2 } } { 2 }$ 
B) $x = 0$ 
C) $x = \frac { \sqrt { 2 } } { 2 }$ 
D) $x = \frac { \sqrt { 2 } } { 2 }$ , $x = - \frac { \sqrt { 2 } } { 2 }$ 
E) $x = - \frac { \sqrt { 2 } } { 2 }$ , $x = 0$ , $x = - \frac { \sqrt { 2 } } { 2 }$

A Function and Its Graph Are Given y=f(x)y = f ( x )y=f(x)

A Function and Its Graph Are Given $y = f ( x )$