y=1-(x-2)3/2的导数等于多少?

问题描述:

y=1-(x-2)3/2的导数等于多少?
就是求y’=?.上式的3/2为2分之3次方.

y'=[1-(x-2)^(3/2)]'
y'=1'-(3/2)(x-2)^[(3/2)-1]*(x-2)'.
=0-(3/2)(x-2)^(1/2)*1.
∴y'=-(3/2)(x-2)^(1/2).