Determine the value of aaa such that the function f(x)=ax2+ln(x)f(x) = ax^2 + \ln(x)f(x)=ax2+ln(x) has an inflection point at x=1/2x = 1/2x=1/2.
a=1a = 1a=1
a=2a = 2a=2
a=−1a = -1a=−1
No such aaa exists