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11-90.

Multiple Choice: No calculator! A point of inflection for the curve $y = \frac { 12 } { x ^ { 2 } + 4 }$ is:

$( - \frac { 2 \sqrt { 3 } } { 3 } , \frac { 9 } { 4 } )$

$( \frac { 2 \sqrt { 3 } } { 3 } , - \frac { 9 } { 4 } )$

$(0,3)$

$( \sqrt { 2 } , 2 )$

$( - \sqrt { 2 } , 2 )$

Compute without a calculator

Hint:

Set $y^{\prime\prime} = 0$ and solve for $x$ .
It may seem like there are two possible answers. Graph the function to check your results.

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