Find All Points of Inflection on the Graph of the Function

question 66

Multiple Choice

Find all points of inflection on the graph of the function $f ( x ) = - 5 e ^ { - 7 x ^ { 2 } }$

• A) \(\left( \frac { 1 } { \sqrt { 7 } } , - \frac { 5 } { e ^ { 2 } } \right) , \left( - \frac { 1 } { \sqrt { 7 } } , - \frac { 5 } { e ^ { 2 } } \right)\)
• B) \(\left( \frac { 1 } { \sqrt { 14 } } , - \frac { 5 } { e } \right) , \left( - \frac { 1 } { \sqrt { 14 } } , - \frac { 5 } { e } \right)\)
• C) \(\left( \frac { 1 } { \sqrt { 14 } } , - \frac { 5 } { \sqrt { e } } \right)\)
• D) \(\left( \frac { 1 } { \sqrt { 14 } } , - \frac { 5 } { \sqrt { e } } \right) , \left( - \frac { 1 } { \sqrt { 14 } } , - \frac { 5 } { \sqrt { e } } \right)\)
• E) \(\left( \frac { 1 } { \sqrt { 7 } } , - \frac { 5 } { e } \right) , \left( - \frac { 1 } { \sqrt { 7 } } , - \frac { 5 } { e } \right)\)

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