Locate Any Relative Extrema and Inflection Points of the Function $y = \frac { x ^ { 8 } } { 8 } - \ln x$

question 119

Multiple Choice

Locate any relative extrema and inflection points of the function $y = \frac { x ^ { 8 } } { 8 } - \ln x$ . Use a graphing utility to confirm your results.

• A)relative maximum value \(y = \frac { 1 } { 8 }\) at \(x = 1\) ; inflection point at x = 0
• B)relative minimum value \(y = 8\) at \(x = 1\) ; inflection point at x = 0
• C)relative minimum value \(y = 8\) at \(x = 1\) ; no inflection points
• D)relative minimum value \(y = \frac { 1 } { 8 }\) at \(x = 1\) ; no inflection points
• E)relative maximum value \(y = \frac { 1 } { 8 }\) at \(x = 1\) ; no inflection points

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