Question

y=

x

x-1

的導(dǎo)數(shù)為（　�。�

• A．-

  1

  (x-1)2

• B．

  1

  (x-1)2

• C．-

  2x-1

  (x-1)2

• D．

  2x-1

  (x-1)2

Answer 1

分析：利用商的求導(dǎo)法則運(yùn)算即可．

解答：解：y′=

x′(x-1)-x(x-1)′

(x-1)2

=

(x-1)-x

(x-1)2

=

-1

(x-1)2

，
故選A．

點(diǎn)評：本題考查導(dǎo)數(shù)的運(yùn)算，考查學(xué)生的運(yùn)算求解能力，屬基礎(chǔ)題．