第四章
第1节
1.
克.
第2节
1.(1)
;(2)
;(3)
.
3.提示:
证明
住所证明下载场所使用证明下载诊断证明下载住所证明下载爱问住所证明下载爱问
,
.
6.(1)不可导点:
,
,
;
(2)不可导点:
,
,
;
(3)不可导点:
,
,
;
(4)不可导点:
,
,
.
7.(1)可导;(2)
时可导,其他情况不可导;(3)不可导;(4)
时可导,
时不可导.
10.(1)不一定;反例:
,
,
,
不成立.
(2)不一定;反例:
.
第3节
3.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
;
(9)
;
(10)
;
(11)
;
(12)
;
(13)
;
(14)
.
5.提示:设切点为
,
,利用
与
解出
与
.
6.
.
7.
,
,
.
第4节
1.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
;
(9)
;
(10)
;
(11)
;
(12)
;
(13)
;
(14)
;
(15)
.
2.(1)
;(2)
;(3)
;(4)
;(5)
.
3.(1)
;(2)
;(3)
;(4)
;
(5)
;(6)
;
(7)
;(8)
.
4.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
.
5.(1)
;(2)
;(3)
;(4)
;
(5)
;(6)
;(7)
;
(8)
.
8.(1)
;(2)
;(3)
;(4)
;(5)
;
(6)
;(7)
;(8)
;(9)
;(10)
.
13.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
第5节
1.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
;
(6)
;
;
(7)
;
(8)
;
(9)
;
(10)
.
2.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
,
.
4.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
5.(1)提示:由
,两边求
阶导数,
,以
代入,得到递推公式
,从而得到
;
(2)提示:利用
,类似(1)得到
.
6.(1)
,其中
;
(2)
,其中
;
(3)
,其中
;
(4)
,其中
.
7.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
9.(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
11.(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
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