设y=e^(-x)cos(3-x),求dy 详细些
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 10:30:56
设y=e^(-x)cos(3-x),求dy 详细些
设y=e^(-x)cos(3-x),求dy 详细些
设y=e^(-x)cos(3-x),求dy 详细些
∵dy/dx=y'=[e^(-x)]'cos(3-x)+e^(-x)[cos(3-x)]'
=-e^(-x)cos(3-x)+e^(-x)(sin(3-x)
=[-cos(3-x)+(sin(3-x)]e^(-x)
∴dy=e^(-x)[-cos(3-x)+(sin(3-x)]dx
解:
y=e^(-x)cos(3-x)
y'=-e^(-x)cos(3-x)+e^(-x)(-sin(3-x))(-1)
=e^(-x)(sin(3-x))-e^(-x)cos(3-x)
所以dy=[e^(-x)(sin(3-x))-e^(-x)cos(3-x)]dx
书中原题啊
dy=[e^(-x)][sin(3-x)-cos(3-x)]dx
dy=[-e^(-x)cos(3-x)+sin(3-x)e^(-x)]dx
设y=e^(-x) cos 1/x,求dy.
设y=cos(x^2+e^x)求dy
求导数 设y=e^(1-3d^2(x))cos(1+lnx^2) 求dy
设y=e^cos^2*1/x,求dy
设y=e^cos^21/x,求dy
设y=e^(-x)cos(3-x),求dy 详细些
设函数y=e^2x+cos x求倒数y'与微分dy
设e^(x+y)+cos(xy)=0确定y是x的函数求dy
设随机变量X,Y相互独立,E(X)=E(Y)=3,D(X)=12,D(Y)=16,求D(3X-2Y)
y=cos^3(2x)+e^x求导数
y=e^-x cos 3x,求dy.
设x=e'sin t,y=e'cos t,求dy/dx.
设Y=cos根号X-e负X平方 ,求 DY
设 y=e^x - ln cos x.求dy 速度
设y=cos根号下x,减去e的负2x方,求dy
设y=cos√x - e^(-2x) 求dy,
求初等函数的导数与微分设y=e^(tan1/x )sin 1/x,求dydy=d(e^tan1/x)sin 1/x+e^(tan1/x )d (sin 1/x)=(e^tan 1/x 乘 1/((cos^2) 1/x)乘 sin (1/x )+e^(tan 1/x) cos 1/x )d(1/x)(这步怎么算的不懂,重点讲一下)=-1/x^2 e^tan1/x (tan1/x sec1
,.设y=y(x)是由方程e^x-e^y=xy所确定的隐函数 求y'(0)另一题设y=y(x)由参数方程x=cos t和y=sin t-t cos t 求d^2 y/dx^2