Question

函數(shù)y=cos³

1

x

的導(dǎo)數(shù)是

 

．

Answer 1

分析：利用復(fù)合函數(shù)的導(dǎo)數(shù)的運(yùn)算法則即可得出．

解答：解：y′=3•cos2

1

x

•(-sin

1

x

)•(-

1

x2

)=3•

1

x2

sin

1

x

cos2

1

x

．
故答案為：3•

1

x2

sin

1

x

cos2

1

x

．

點(diǎn)評(píng)：本題考查了復(fù)合函數(shù)的導(dǎo)數(shù)的運(yùn)算法則，屬于基礎(chǔ)題．