(1)f'(x)=a+a/x^2+1/x,由于x属于R+(正实数),所以f'(x)>0,f(x)单调递增.
(2)若f(x)单增,求解f'(x)>0,即ax^2+x+a恒大于0,即在a>0时,判别式小于0,得a>1/2
若f(x)单减,求解f'(x)
(1)f'(x)=a+a/x^2+1/x,由于x属于R+(正实数),所以f'(x)>0,f(x)单调递增.
(2)若f(x)单增,求解f'(x)>0,即ax^2+x+a恒大于0,即在a>0时,判别式小于0,得a>1/2
若f(x)单减,求解f'(x)