函数f(x)=lnx/x的定义域是_____,极大值点是x=_____.
f(x)=lnx/x的定义域是(0,+∞).f'(x)=(1-lnx)/x2,令f'(x)=0,得驻点x=e.f''(x)=21nx-3/x3,令f''(e)=-e-3<0,,故x=e是极大值点.
函数f(x)=lnx/x的定义域是_____,极大值点是x=_____.
f(x)=lnx/x的定义域是(0,+∞).f'(x)=(1-lnx)/x2,令f'(x)=0,得驻点x=e.f''(x)=21nx-3/x3,令f''(e)=-e-3<0,,故x=e是极大值点.