f'(x)=1/x+2ax
∵f(x)=lnx+ax2-4在x=1/2处取得极值
∴f'(1/2)=0 ==> 2+a=0 ==>a=-2
f'(x)=1/x-4x=(1-4x^2)/x=-4(x+1/2)(x-1/2)/x
x∈(1/2,1]时,f'(x)
f'(x)=1/x+2ax
∵f(x)=lnx+ax2-4在x=1/2处取得极值
∴f'(1/2)=0 ==> 2+a=0 ==>a=-2
f'(x)=1/x-4x=(1-4x^2)/x=-4(x+1/2)(x-1/2)/x
x∈(1/2,1]时,f'(x)