y=sin²x·sinx²

cosx+sinx=√2（√2/2cosx）+√2（√2/2sinx）=√2（√2/2cosx+√2/2sinx)=√2（sinπ/4cosx+cosπ/4sinx)=√2sin(x+π/4)划一公式

z对x的偏导=cosx+cos(x+y)=0时,cosx=-cos(x+y)=cos(pi-x-y),所以x=pi-x-y.同理z对y的偏导=0时,有y=pi-x-y.所以x=y=pi/3.此时z=3

[sin(2x+y)/sinx]-2cos(x+y)={[sin(x+y)cosx+cos(x+y)sinx]/sinx}-2cos(x+y)={[sin(x+y)cosx+cos(x+y)sinx-

两边求导：cos(x+y)*(1+y')=cosx+cosy*y'y'=(cosx-cos(x+y))/(cos(x+y)-cosy)e^x+1=e^y*y'+y'y'=(e^x+1)/(e^y+1)

sin(x+y)sin(x-y)=-1/2(cos(x+y+x-y)—cos(x+y-x+y))=-1/2(cos2x—cos2y)=-1/2(1-2（sinx）^2-1+2(siny）^2)=（si

sin(x+y)sin(x-y)=-1/2(cos(x+y+x-y)—cos(x+y-x+y))=-1/2(cos2x—cos2y)=-1/2(1-2（sinx）^2-1+2(siny）^2)=（si

y是偶函数,只要求x>=0即可y=|sinx|-sinx则sinx>=0,y=sinx-sinx=0-1

原函数可拆成：y=t²+tt=sinxy(t)的开口向上,对称轴为:t=-1/2,定义域为：[-1,1]当-1≤t‍≤-1/2,y(t)是减函数对应的,t(x)函数是增函数即：﹣

y=sin|x|+sinxx∈[2kπ,(2k+1)π],y=2sinx,y∈[0,2]x∈[(2k-1)π,2kπ],y=0y的值域是[0,2]

y=sinx²+sin²x∴y'=cos(x²)*(x²)'+2sinx*(sinx)'=2x*cos(x²)+2sinxcosx=2x*cos(x&

y=sin^3x+sinx^3y'=3sin²xcosx+cosx³*3x²=3sin²xcosx+3x²cosx³

x>=0y=sinx-sinx=0x

y=sin²x+sinx+cosx+2=(1-cos2x)/2+√2sin(x+л/4)+2=(1/2)*sin(2x+л/2)+√2*sin(x+л/4)+5/2；=(1/2)*sin(2

sin²x=sinx·sinx是y=sin²x=(1-cos2x)/2所以是周期函数T=π

说说你也知道的,y=|sinx|图形把y=sinx的图x轴下方全部上翻,也就是y值为恒负；而y=sin|x|是改变y=sinx的图y轴左半部分,改成和右边对称,对称轴就是y轴了,这你该知道的.

x>0y=2sinx值域-2到2x

y'=6sin2x^2cos2x+cos2x可以划简

令t=sinx则-1≤t≤1y=t^2-t=(t-1/2)^2-1/4所以t=-1,y=1+1=2t=1/2,y=-1/4t=1,y=0所以y的最大值为2,最小值为-1/4函数y=sin²x

sinx+siny+sinz-sin(x+y+z)=4sin[(x+y)/2]sin[(x+z)/2]sin[(y+z)/2]sinx+siny+sinz-sin(x+y+z)=2sin[(x+y)/

把5siny=sin(2x+y)变为5sin[(x+y)-x]=sin[（x+y)+x],把其中的（x+y）,看成一个整体,上式即变为4sin(x+y)cosx=6cos(x+y)sinx,再把式子的