ln (2-x )+ax,a>o,求函数单调区间

问题描述:

ln (2-x )+ax,a>o,求函数单调区间

令f(x)=ln (2-x )+axf'(x)=-1/(2-x) + a a>0令f'(x)=0,即-1/(2-x) + a =0,x=(2a-1)/a显然当x>(2a-1)/a,有f'(x)>0;x<(2a-1)/a,有f'(x)<0;所以当x>(2a-1)/a,(a>0),ln (2-x )+ax单调增加所以当x<(2a-1)/...