A: clearsyms xy=1/x^2/sqrt(x^2-1)int(y,x,-2,-1)3^(1/2)/2
B: clearsyms xint(1/x^2/sqrt(x^2-1),x,-2,-1)3^(1/2)/2
C: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)-pi/3
D: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)3^(1/2)/2
E: clearsyms xint(1/x^2*sqrt(x^2-1),x,-2,-1)log(3^(1/2) + 2) - 3^(1/2)/2
举一反三
- 求函数$y = \root 3 \of {x + \sqrt x } $的导数$y' = $( ) A: ${{1 + 2\sqrt x } \over {\root 3 \of {{{\left( {x + \sqrt x } \right)}^2}} }}$ B: $ {{1 + 2\sqrt x } \over {6\root 3 \of {{{\left( {x + \sqrt x } \right)}^2}} }}$ C: $ {{1 + 2\sqrt x } \over {6\sqrt x \cdot \root 3 \of {{{\left( {x + \sqrt x } \right)}^2}} }}$ D: $ {{1 + 2\sqrt x } \over {\sqrt x \cdot \root 3 \of {{{\left( {x + \sqrt x } \right)}^2}} }}$
- 函数\(y = {\left( {\arcsin x} \right)^2}\)的导数为（ ）. A: \(2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) B: \( - 2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) C: \(2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\) D: \( - 2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\)
- 求函数$y = {{1 + \root 3 \of {{x^2}} - \sqrt {2x} } \over {\sqrt x }}$的导数$y' = $( ) A: $ {1 \over 2}{x^{ - {3 \over 2}}} + {1 \over 6}{x^{ - {5 \over 6}}}$ B: $ - {1 \over 2}{x^{ - {3 \over 2}}} + {1 \over 6}{x^{ - {5 \over 6}}}$ C: ${1 \over 2}{x^{ - {3 \over 2}}} - {1 \over 6}{x^{ - {5 \over 6}}}$ D: ${1 \over 3}{x^{ - {3 \over 2}}} - {1 \over 6}{x^{ - {5 \over 6}}}$
- 函数\(y = \arcsin x\)的导数为（ ）. A: \( - {1 \over {\sqrt {1 + {x^2}} }}\) B: \({1 \over {\sqrt {1 + {x^2}} }}\) C: \({1 \over {\sqrt {1 - {x^2}} }}\) D: \( - {1 \over {\sqrt {1 - {x^2}} }}\)
- \( \int_0^1 {dx} \int_ { { x^2}}^x { { {\left( { { x^2} + {y^2}} \right)}^{ - {1 \over 2}}}dy} \) =（ ） A: \( \sqrt 2 + 1 \) B: \( \sqrt 2 - 1 \) C: \( \sqrt 2 \) D: \( \pi \)
内容
- 0
方程\(\left( {1 - {x^2}} \right)y - xy' = 0\)的通解是（ ）。 A: \(y = C\sqrt {1 - {x^2}} \) B: \(y = - {1 \over 2}{x^3} + Cx\) C: \(y = {C \over {\sqrt {1 - {x^2}} }}\) D: \(y = Cx{e^{ - {1 \over 2}{x^2}}}\)
- 1
17e0b849b7d64bd.jpg,计算[img=19x34]17e0ab14a855463.jpg[/img]实验命令为(). A: syms x;f=diff(asinsqrt(x))f=1/2/x^(1/2)/(1-x)^(1/2) B: f=diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2) C: syms x;diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2)
- 2
17da42840675a6d.jpg,计算[img=19x34]17da4275482315f.jpg[/img]实验命令为(). A: syms x;f=diff(asinsqrt(x))f=1/2/x^(1/2)/(1-x)^(1/2) B: f=diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2) C: syms x;diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2)
- 3
将[img=83x51]17de8a0fc777b0b.png[/img]表示为程序所能接受的表达式，正确的为 A: sqrt(pow(x, 2) / (pow(x, 2) + 1)) B: sqrt(pow(2, x) / (pow(2, x) + 1)) C: pow(sqrt(2, x) / (sqrt(2, x) + 1)) D: pow(sqrt(x, 2) / (sqrt(x, 2) + 1))
- 4
求变上限函数[img=72x35]17da5f1066e9acf.png[/img]对变量x的导数,实验命令是(). A: diff(int(sqrt(a+t),t,x,x^2))ans =2*x*(x^2 + a)^(1/2) - (a + x)^(1/2) B: syms a t; diff(int(sqrt(a+t),t,x,x^2))ans =2*x*(x^2 + a)^(1/2) - (a + x)^(1/2) C: diff('int(sqrt(a+t)','t',x,x^2))ans =2*x*(x^2 + a)^(1/2) - (a + x)^(1/2)