y=sin²(2x-兀/3)求导-搜答案-百度作业网

函数的周期T=2πω＝2π2=π，由-π2+2kπ≤2x+π3≤π2+2kπ，解得−5π12+kπ≤x≤π12+kπ，即函数的递增区间为[−5π12+kπ，π12+kπ]，k∈Z，由2x+π3=π2+

求函数y=sin（2x+π3

∵y=sin（2x+π3），∴由2kπ−π2≤2x+π3≤2kπ+π2，k∈Z．得kπ-5π12≤x≤kπ+π12，k∈Z．∴当k=0时，递增区间为[0，π12]，当k=1时，递增区间为[7π12，π

sin(x^2+y^2)=x,求dy

sin(x^2+y^2)=x两边同时求导,得(x^2+y^2)'cos(x^2+y^2)=dx(2xdx+2ydy)cos(x^2+y^2)=dx2xdx+2ydy=dx/cos(x^2+y^2)2y

y = x^2 sin 4x,求dy,

y'=2xsin4x-x²cos4x·4所以dy=(2xsin4x-4x²cos4x)dxy=ln√4＋t²=1/2ln(4+t²)y'=1/2·1/(4+t&

x=sin(y/x)+e^2 求dy/dx

x=sin(y/x)+e^2求dy/dxd(x)=d(sin(y/x)+e^2)dx=dsin(y/x)+de^2dx=cos(y/x)d(y/x)dx=cos(y/x)(xdy-ydx)/x^2x^

y'=(cos²x)'-(sin3^x)'=2cosx·(cosx)'-cos3^x·(3^x)'=2cosx·(-sinx)-cos3^x·(3^x·ln3)=-sin2x-ln3·cos

sin^2x+cos^2y=1/2∴sin^2x=1/2-cos^2y3sin^2x+sin^2y=3（1/2-cos^2y）+sin^2y=1.5-3cos^2y）+sin^2y又有sin^2y+c

y=sin^2 {x/(x+1)} 求dy

dy=2sin[x(x+1)]cos[x(x+1)](2x+1)

y∈[1,3]当y=1时,sin(x+π/3)=-1,x+π/3=2kπ-π/2,x=kπ-5π/12,k∈Z当y=3时,sin(x+π/3)=1,x+π/3=2kπ+π/2,x=kπ+π/12,k∈

y=sin(x+π/3)sin(x+π/2)=sin(x+π/3)cosx=(sinxcosπ/3+cosxsinπ/3)cosx=1/2sinxcosx+√3/2cos^2(x)[cos^2(x)指

-2k=cos2x-cos2y=[2(cosx)^2-1]-[2(cosy)^2-1]=2[(cosx)^2-(cosy)^2]cos^2x-cos^2y=-k

Sinx-siny=2/3cosx-cosy=1/2分别平方得(Sinx-siny)^2=(2/3)^2(cosx-cosy)^2=(1/2)^2展开相加得-2cos(x-y)+2=4/9+1/4-2

(1)当y=C时,sin[(x+C)/2]=sin[(x-C)/2]移项,和差化积有2cos{[(x+C)/2+(x-C)/2]/2}sin{[(x+C)/2-(x-C)/2]/2}=0,即cos(x

y=sin^2*1/x求y"

sin(x+2y)=3sinx,sin[(x+y)+y]=3sin[(x+y)-y],sin(x+y)cos(y)+cos(x+y)sin(y)=3[sin(x+y)cos(y)-cos(x+y)si

y=sin平方(2x-3)=（1-cos（4x-6））/2=0.5-0.5cos(2x-3)y'=2sin(2x-3)*cos(2x-3)*2=4sin(2x-3)*cos(2x-3)楼主,给分.

y'=2e^2xcos(e^2x)把y看成复合函数sint,t=e^m,m=2x.复合函数求导,等于三个分别求导的积

y=sin(x^2),求dy/d(x^3)

dy/d(x^3)=(dy/dx)/(d(x^3)/dx)=cosx/3(x^2)