Find the Extreme Values of the Function and Where They $$y = \frac { \ln x } { x ^ { 2 } }$$

question 9

Multiple Choice

Find the extreme values of the function and where they occur.
- $$y = \frac { \ln x } { x ^ { 2 } }$$

• A) Maximum value is \(\frac { 1 } { 2 \mathrm { e } }\) at \(\mathrm { x } = \mathrm { e } ^ { 1 / 2 }\); minimum value is 0 at \(\mathrm { x } = 1\).
• B) Minimum value is \(\frac { 1 } { 2 \mathrm { e } }\) at \(\mathrm { x } = \mathrm { e } ^ { 1 / 2 }\); no maximum value.
• C) Maximum value is \(\frac { 1 } { 2 \mathrm { e } }\) at \(\mathrm { x } = \mathrm { e } ^ { 1 / 2 }\); no minimum value.
• D) None

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