设y(x)=cos(sin1 x),求dy-搜答案-搜搜考试网

设y=cos^2(x+1),求dy

楼上的少写了“-”和“dx”吧dy=2cos(x+1)•[-sin(x+1)]dx=-sin2(x+1)dx

再答：再问：dy再答：��ѽ��再问：΢��dy再问：û�ĵ�再答：

sin(x+y)sin(x-y)=[sinxcosy+sinycosx][sinxcosy-cosxsiny]=(sinxcosy)^2-(cosxsiny)^2=(1-cos^2y)cos^2y-c

对dy=cos(1+x)d(1+x)=cos(1+x)dx

由隐函数微分法可得：－sin(x＋y)(1＋y′)＋y′＝0－sin(x＋y)＋[1－sin(x＋y)]y′＝0∴y′＝sin(x＋y)／[1－sin(x＋y)]．

设y=y(x)由方程ysinx=cos(x-y)所确定,则y'(0)=x=0时cos(-y)=cosy=0,故y=π/2+2kπ,k∈ZF(x,y)=ysinx-cos(x-y)=0dy/dx=-(&

对两边求导：[-sin（x+y）]（1+dy/dx）+dy/dx=0-sin（x+y）-[sin（x+y）]dy/dx+dy/dx=0dy/dx=[sin(x+y)]/[1-sin(x+y)]

f(x,y)=e^(x+y)+cos(xy)=0 //: 利用隐函数存在定理：f 'x(x,y)=e^

dy=[e^x-1/cosx*(-sinx)]dx=(e^x+tanx)dxo(∩_∩)o

x^2+y^2+z^2=cos^2φcoc^2Θ+cos^2φsin^2Θ+sin^2φ=1.F=x^2+y^2+z^2Fx=2xFz=2zz对x的偏导数=一Fx/Fz=一x/z.

z=y*cos(x+y)对x求偏导得y*(-sin(x+y))=-y*sin(x+y)对y求偏导得cos(x+y)+y*(-sin(x+y))=cos(x+y)-y*sin(x+y)所以dz=-y*s

y＝cos(2x^2+x+1)→dy/dx＝-sin(2x^2+x+1)·(2x^2+x+1)'∴dy/dx＝-(4x+1)sin(2x^2+x+1).

正确答案：【-sin根号x/（2根号x）+2的x次方ln2】dx

你的题目中是不是负的x次方如果是负x次方,则结果如下,若不是请联系：05520029@163.com((1 + E^-x) Sin[Sqrt[-E^-x +&n

dy=[-sin(√x)*1/2*x^(-1/2)-e^(-2x)*(-2)]dx=[1/2sin(√x)x^(-1/2)+2e^(-2x)]dx

dy/dx=-2cosxsinx-5x的4次方所以dy=(-sin2x-5x的4次方)dx

dy=cos√xdx-e^(-2x)dx=sin√x*√xdx-e^(-2x)(-2x)dx=[√x(sin√x)/2x+2e^(-2x)]dx很高兴为您解答,【数学之美】团队为您答题.请点击下面的【

y=cos√x+2＾xy'=-sin√x/(2√x)+ln2*2＾xdy=[-sin√x/(2√x)+ln2*2＾x]dx

y'=3[cos(1/x)]^2*[cos(1/x)]'..=3[cos(1/x)]^2*[-sin(1/x)]*(1/x)'..=3[cos(1/x)]^2*[-sin(1/x)]*(-1/x^2)

) y=cos(x-y)

1.两边求导得：y'=-sin(x-y)(1-y')解得y'=sin(x-y)/[sin(x-y)-1]2.y'=-e^-xy''=e^-xy'"=-e^-x3.y'"=(e^2x)'"(sinx)+