Locate Any Relative Extrema and Inflection Points of the Function $y = \frac { x ^ { 15 } } { 15 } - \ln x$

Multiple Choice

Locate any relative extrema and inflection points of the function $y = \frac { x ^ { 15 } } { 15 } - \ln x$ . Use a graphing utility to confirm your results.

A) relative minimum value: $\left( 1 , \frac { 1 } { 15 } \right)$ ; no inflection points
B) relative minimum value: $( 1,15 )$ ; inflection point: $( 0,0 )$
C) relative maximum value: $( 1,15 )$ ; inflection point: $( 0,0 )$
D) relative minimum value: $( 1,15 )$ ; no inflection points
E) relative maximum value: $\left( 1 , \frac { 1 } { 15 } \right)$ ; no inflection points