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# 第二节 函数的求导法则 - PowerPoint PPT Presentation

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“两个可导函数之和(差)的导数等于这两个函数的导数之和(差).”

△y, △u, △v，则

y=u(x)v(x)在该点也可导，且 [uv]’ = u’v + u v’

“两个可导函数乘积的导数等于第一个因子的导数与

“两个可导函数之商的导数,等于分子的导数与分母的乘积

△x取使△u≠0的值而趋于零时，由于

1. 分 段 函 数 的 导 数

(1)若函数在各段开区间内可导,则分别求出它在各开区间

(2)判断函数在分段点x0处的可导性:

(2)判断函数在分段点x0处的可导性

2. 含绝对值的函数的导数

(1)设y = ln|u(x)|， u(x) 可导，且u(x)≠0， 求y ’

(2)设y=|u(x)|,u(x)可导,求y’

2.函数的和,差,积,商的求导法则

3.反函数的求导法则

4.复合函数的求导法则

y=f[g(x)]的导数为