(1987)已知y=ln(sqrt(1+x^2)-1)/(sqrt(1+x^2))+1,求y'.

1.设y=sqrt(1+ln^2)x，求y.1.设$y=\sqrt{1+\ln^{2}x}$，求y'.

已知f（x）=ln（sqrt(1+x^2)+x），求f-1（0）=（ ）A. 1B. $\frac{1}{2}$C. 0D. -$\frac{1}{2}$

A.sqrt(1+x) B.(sqrt(1+x))/(2) C.(sqrt(1+x))/(sqrt(x)) D.(sqrt(1+x))/(2sqrt(x)

设y=dfrac(x{(1+x))^2}({(1-x))^3}，则y=A. $\dfrac{6+x-{x}^{2}}{x-{x}^{3}}$B. $\dfrac

=dfrac (sqrt {1+x)-sqrt (1-x)}(sqrt {1+x)+sqrt (1-x)}

(9) =dfrac (sqrt {1+x)-sqrt (1-x)}(sqrt {1+x)+sqrt (1-x)} ;

1.求下列微分方程的通解:-|||-(1) -yln y=0 ;-|||-(2) (x)^2+5x-5y=0 ;-|||-(3) sqrt (1-{x)^2}y

求下列极限-|||-lim _(xarrow 0)[ dfrac (1)(ln (x+sqrt {1+{x)^2})}-dfrac (1)(ln (1+x))]

1.求极限lim_(xto0)(sinln(1+x)-ln(1+sin x))/((sqrt(1+x^2))-1)tan x.1.求极限$\lim_{x\to0

(5)int ln^2(x+sqrt(1+x^2))dx;(5)$\int ln^{2}(x+\sqrt{1+x^{2}})dx;$