![](https://img.51dongshi.com/20250107/wz/18410865552.jpg)
其意義是函數(shù)在某一點(diǎn)的變化率為0,即函數(shù)在該點(diǎn)處的斜率為0。換句話說(shuō),函數(shù)在該點(diǎn)處的切線是平行的。微分為0時(shí),函數(shù)圖像在該點(diǎn)處不存在切線斜率的變化,即函數(shù)在該點(diǎn)處的斜率是常數(shù),也就是該點(diǎn)處的導(dǎo)數(shù)是常數(shù)。例如,函數(shù)f(x)=x的導(dǎo)數(shù)為f'(x)=1,在x=0處的導(dǎo)數(shù)為0,即在該點(diǎn)處f(x)=x的切線是平行的。