y=cos的(2x-3)平方的导数

y=sin平方x+sin2x+3cos平方x=1+sin2x+2cos^2x=1+sin2x+2cos^2x-1+1=sin2x+cos2x+2=√2sin(2x+π/4)+2当sin(2x+π/4)

分组得到：{cos（x+y^2)dx+2y[cos(x+y^2)dy}+(3ydx+3xdy)=0即：d(cos(x+y^2))+3d(xy)=0通解为：cos(x+y^2)+3xy=C

y=sinx+cos²x=sinx+1-sin²x=-sin²x+sinx+1=-(sinx-1/2)²+5/4当sinx=1/2时,y有最大值ymax=5/4

(1)2/x^2导数为:(0-4x)/x^4=-4/x^3所以y=(2/x^2)-1的到数为-4/x^3(2)sinx导数为cosxcos^2x=(1+cos2x)/2因此cos^2x导数为-sin2

y=(sinx)^2+2sinx·cosx+3(cosx)^2=1+2sinxcosx+2(cosx)^2=cos2x+sin2x+2y'=-2sin2x+2cos2xy'=0=>cos2x-sin2

y=cos的平方x-sin的平方x=cos²x-sin²x=cos2xy=cos2x的单调增区域为：π+2kπ≤2x≤2π+2kπ,k为整数即π/2+kπ≤x≤π+kπ,k为整数∴

y=cos(9/2π+x)+sinx=cos(π/2+x)+sinx=-sinx+sinx=0=max=miny=cos(9/(2π)+x)+sinx=cos(9/(2π))cosx-(sin(9/(

y=2sinx^2+2cosx-3=2(1-cosx^2)+2cosx-3=2-2cosx^2+2cosx-3=-2cosx^2+2cosx-1=-2(cosx^2-cosx+1/4)-1/2=-2(

y=√3cos²x+1/2sin2x=√3/2(cos2x+1)+1/2sin2x=√3/2cos2x+1/2sin2x+√3/2=sin(π/3)cos2x+cos(π/3)sin2x+√

y=sinxcosx+√3cos²x-√3/2=1/2*(2sinxcosx)+√3/2(2cos²x-1)=1/2*sin2x+√3/2cos2x.正弦余弦的二倍角公式=sin(

cos^2x=cos2x+1所以原式等于二分之根号三倍的（cos2x+1)+1/2sin2x化简得sin(2x+60)+二分之根号三最大值就是1+二分之根号三

正确答案：【-sin根号x/（2根号x）+2的x次方ln2】dx

把平方和乘积都转换成和差的形式2Xy=-(1+cos2X)+1/2sin2X+3/2*1/2(1-cos2X)=-1/4-7/4cos2X+1/2sin2X最小正周期为π啊你想编程实现吗?那就不知道了

1)f(x)=1-cos²2x+4sinxcosx-3cos²2x=2sin2x-1-4cos²2x=2sin2x-2(2cos²2x-1)-3=2sin2x-

令t=cosx,则－1≤t≤1    y=t²－3t+2    显然当t=1时y有最小值0

先教你打一下平方吧,不然以后你提问的问题看着很别扭.按住Alt不放,再按小键盘的178.y=cos²x+sinxcosx＝(1+cos2x)/2+sin2x/2=(1/2)+(1/2)(si

y'=(x²cosx)'=(x²)'(cosx)＋(x²)(cosx)'=2xcosx－x²sinx

Y=2cosx平方+2√3sin(x)cos(x)-1=2cosx^2-1+√3*2sinxcosx=cos2x+√3sin2x=2(sin(pai/6)*cos2x+cos(pai/6)*sin2x

y=(sinx)^2+3(cosx)^2+2sinxcosx=2+2(cosx)^2+2sinxcosx=2+cos2x+1+sin2x=3+sin2x+cos2x=√2sin(2x+π/4)+3最大

y=[cos(x-1)]^2y=-2cos(x-1)*sin(x-1)=-sin[2(x-1)]