(5)下列函数的导数计算正确的有 () .-|||-① (arcsin x)'=-dfrac (1)(sqrt {1-{x)^2}}; ② ((log )_(a)x)'=dfrac (1)(aln x);-|||-③ (ln sin x)'=cot x; ④ [ (({x)^2+1)}^10] '=20x(({x)^2+1)}^9.-|||-(A)1个 (B)2个 (C)3个 (D)4个

设=dfrac (arcsin x)(sqrt {1-{x)^2}}（1）证明：=dfrac (arcsin x)(sqrt {1-{x)^2}}（2）求=df

例10]证明 (arcsin x)=dfrac (1)(sqrt {1-{x)^2}}

7.求下列函数的导数:-|||-(1) =arcsin (1-2x) ;-|||-(2) =dfrac (1)(sqrt {1-{x)^2}} ;-|||-(3

=dfrac (arcsin x)(x)+dfrac (1)(2)ln dfrac (1-sqrt {1-{x)^2}}(1+sqrt {1-{x)^2}}

(6) () =dfrac (1)(sqrt {1-{x)^2}} int dfrac (1)(sqrt {1-{x)^2}}dx=() .

函数 =arcsin sqrt (1-{x)^2}+dfrac (1)(sqrt {1-{x)^2}} 的定义域为 __ 。

=dfrac (x)(sqrt {1-{x)^2}}，则=dfrac (x)(sqrt {1-{x)^2}}=_________.，则=_________.

、证明:当 -1lt xlt 0 时, arcsin sqrt (1-{x)^2}-arctan dfrac (x)(sqrt {1-{x)^2}}=dfrac

已知f(x)=(2x)/(sqrt (1-{x)^2)}，则(df(sqrt (1-{x)^2)})/(dx)=(,,,,,)A、-2；B、-dfrac(2x)

8.求下列函数的导数:-|||-(10) =arcsin sqrt (dfrac {1-x)(1+x)}