arctany=t 则y=tant

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arctany=t 则y=tant
求导arctany/x=根号[ln(x^2+y^2) ] .根号在ln外面的

两边对x求导得1/[1+(y/x)^2]*(y/x)'=1/[ln(x^2+y^2)]*[ln(x^2+y^2)]'1/[1+(y/x)^2]*(y'x-y)/x^2=1/[2ln(x^2+y^2)]

设二维连续型随机变量(X,Y)的联合分布函数为F(x,y)=A(B+arctanx/2)(C+arctany/3),判断

F(x,y)=A(B+arctanx/2)(C+arctany/3)F(-∞,-∞)=A(B-π/2)(C-π/2)=0F(-∞,+∞)=A(B-π/2)(C+π/2)=0F(+∞,-∞)=A(B+π

1 求方程(1+y^2)dx=(arctany - x)dy的通解 2求方程(x-2xy- y^2)y’+ =0的通解

第一题上面已有朋友回答第二题可以先化简得:y'=y^2\(-x+2xy+y^2),也可记为dy\dx=y^2\(-x+2xy+y^2),则dx\dy=(-x+2xy+y^2)\y^2,化简得:dx\d

ln[根号(x^2+y^2)] =arctany/x 求dy

1/2*ln(x^2+y^2)=arctany/x两边对x求导,得1/2*1/(x^2+y^2)*(2x+2y*y')=1/[1+(y/x)^2]*(y'*x-y)/x^2化简得y'=(x+y)/(x

x=y+arctany 求隐函数的导数dy/dx.

y+arctany-x=0dy/dx+1/(1+y^2)dy/dx-1=0dy/dx(1+1/(1+y^2)=1dy/dx=(1+y^2)/(2+y^2)

三角函数的周期性y=sin(ωx+θ)+K,则T=2π/ω;y=cos(ωx+θ)+K,则T=2π/ω;y=tan(ωx

一般情况下,ω是正值.如果它是负值,可以先把他变成正数就是了.其实,ω的正负其实不影响他的周期.  例如:y=sin(-|ω|x+θ)+K=-sin(|ω|x-θ)+K,它的周期还是T=2π/ω下面哪

已知x+arctany=y,求函数y=(x)的导数y'?

x+arctany=y两边对x求导有:1+y'/(1+y²)=y'整理得:y'=1+1/y²

设y=2arctany/x,求dy/dx,dy^2/d^2x.

设y=2arctan(y/x),求dy/dx,d²y/dx².设F(x,y)=y-2arctan(y/x)=0,则dy/dx=-(∂F/∂x)/(ͦ

设函数y=y(x)由方程ln(x^2+y^2)^1/2=arctany/x所确定,求dy/dx.

见图再问:不好意思啊~题目看错了,题目如图啊~

设二维连续型随机变量(X,Y)的联合分布函数为F(x,y)=A(B+arctanx/2)(C+arctany/3)求AB

利用概率分布函数特性F(正无穷,正无穷)=1,F(负无穷,负无穷)=0,带入就是A(B+π/2)(C+π/2)=1A(B-π/2)(C-π/2)=0展开后,两式相加:ABC=1/2-(π^2)/4再问

TAN(A)=TAN(T)*SIN(φ)

假设地理纬度为φ,指时针的高度为H,要刻划的时间与正午的差值为T;时间线与指时针的夹角为A,距离为D只是一个三角函数的公式,是用来具体运算,没有太大意义

求函数的导数 1.y=arcsin(cosx) 2.arctany/x=ln根号下x平方+y平方

1.y=arcsin(cosx)y'=[1/√(1-cos²x)](-sinx)=-sinx√(1-cos²x)/sin²x=-|sinx|/sinx∴当sinx>0时y

设z=arctany/x,求dz?

是(arctany)/x还是arctan(y/x)?如果是z=(arctany)/x,则∂z/∂x=-(arctany)/x²∂z/∂y=1/

x+y=arctany 隐函数求导数

利用查表或反函数求导法可求得(arctanu)'=1/(1+u^2)∴上述方程两边分别对x求导可得1+y'=y'/(1+y^2)=>(1+y^2)+(1+y^2)y'=y'=>(1+y^2)+y^2y

若tanx=1/2,tan(x-y)==-2/5,则tan(2x-y)

tan(2x-y)=[tanx+tan(x-y)]/[1-tanxtan(x-y)]=(1/10)/(1+1/5)=1/12

证明arctanx+arctany=arctan(x+y/1-xy),其中xy不等於1

左右2边取正切,左边=(X+Y)/(1-XY)=右边.左边=arctan[(X+Y)/(1-XY)+Z]/[1-(X+Y)Z/(1-XY)]=arctanc(X+Y+Z-XYZ)/[1-XY-(X+Y

tan(arctanX+arctanY)=(X+Y)/(1-XY)

❶证明:tan(arctanX+arctanY)=(X+Y)/(1-XY)证明:tan(arctanx+arctany)=(tanarctanx+tanarctany)/[1-(tana