f(x)=xcos^2x-2acosx-(2a 1)

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f(x)=xcos^2x-2acosx-(2a 1)
设函数f(x)=根号3cos²ωx+sinωxcosωx(ω,a∈R),

f(x)=根号3cos²ωx+sinωxcosωx=根号3/2(cos²2ωx)+1/2(sin2ωx)=sin(2ωx+π/3);y轴右侧的第一个最高点的横坐标为π/6,π/3ω

已知函数f(x)=sin^2ωx+√3cosωxcos(π/2-ωx)(ω>0)

f(x)=sin^2ωx+√3cosωxcos(π/2-ωx)(ω>0)=(1-cos2ωx)/2+(√3/2)sin2ωx=sin(2ωx-π/6)+1/2∵函数y=f(x)的图像相邻两条对称轴之间

求函数f(x)=(sin四次方x+cos四次方x+sin²xcos²x)/(2-2sinxcosx)

f(x)=(sin^4x+cos^4x+sin²xcos²x)/(2-2sinxcosx)-(sinxcosx)/(2)+(cos2x/4)=(sin^4x+cos^4x+2sin

sin^2x+cos^2x)(sin^4x-sin^2xcos^2x+cos^4x) =sin^4x-sin^2xcos

那个前半括号里面相加等于一

求函数f(x)=sin^4x+cos^4x+sin^2xcos^2x/2-2sinxcosx-1/2sinxcosx+1

先化简.f(x)=(sin^4x+cos^4x+sin^2xcos^2x)/(2-2sinxcosx)-1/2sinxcosx+1/4cos^2x=【(sin²x+cos²x)&s

设函数f(x)=根号3cos^2ωx+sinωxcosωx+a (ω>0)且f(x)的图像在y轴右侧的第一个最高点的横坐

(1)原式=根号3(1+cos2wx)/2+sin2wx/2+a=根号3cos2wx/2+sin2wx/2+根号3/2=sin(2wx+pi/3)+a+根号3/2求出单调递增区间为[kpi/w-5pi

设函数f(x)=√3cos^2ωx+sinωxcos+a(其中ω>0,a属于R)且f(x)的图像在y轴右侧的第一个高点的

1)这道题我刚做过,化简得f(x)=COS^(2wX-30")所以w=0.52)a=根号3-1

求函数f(x)=(sin^4x+cos^4x+sin^2xcos^2x)/2

sin^4x+cos^4x+sin^2x*cos^2x=sin^4x+cos^4x+2sin^2x*cos^2x-sin^2x*cos^2x=(sin^2x+cos^2x)^2-sin^2x*cos^

求间断点f(x)=xcos^2(1/x)并说明间断点的类型.请给出具体过程.

函数f(x)只在x=0处没有定义,所以x=0是间断点.x→0时,f(x)=xcos^2(1/x)是无穷小与有界函数乘积的形式,所以f(x)→0所以,x=0是可去间断点

数学题目已知函数f(x)=+2sinωxcosωx+2f(a)=2/3求sin(5/6π-4a)

f(x)=sin2ωx+√3cos2ωx=2sin(2ωx+π/3),两对称轴之间的最小值为π/2即半个周期,则周期为π=2π/2ω,所以w=1,所以f(x)=2sin(2x+π/3),f(α)=2s

已知函数f(x)=2sinωxcosωx+23sin

由题意得f(x)=2sinωxcosωx+23sin2ωx−3=sin2ωx−3cos2ωx=2sin(2ωx−π3)…(2分)由周期为π,得ω=1.得f(x)=2sin(2x−π3)…(4分)由正弦

f(x)=√3/2cos²ωx +sinωxcosωx +a (其中ω>0,a∈R,)且f(x)的图像在y轴右

f(x)=√3/2cos²ωx+sinωxcosωx+a式子中cos²ωx是平方还是2倍呀,要是2倍就好算多了.1,先按2倍算一下,你看看.f(x)=√3/2cos²ωx

f(x) = xcos(3x)求导

f'(x)=x'cos3x+x*(cos3x)'=cos3x+x(-sin3x)*(3x)'=cos3x-3xsin3x

求函数f(x)=(sin^4x+cos^4x+sin^2xcos^2x)/(2-sin2x)的最小正周期、最大值和最小值

f(x)=[(sin^2x+cos^2x)^2-sin^2xcos^2x]/(2-2sinxcosx)=(1-sinxcosx)(1+sinxcosx)/2(1-sinxcosx)=1/2sinxco

f(x)=a(sin^6x+cos^6x)+b(sin^4x+cos^4x)+6sin^2xcos^2x的值与x无关且等

f(x)=a(sin²x+cos²x)(sin^4x-sin²xcos²x+cos^4x)+b(sin^4x+cos^4x)+6sin^2xcos^2x=a(s

∫xcos(x/2)dx

用分部积分∫xcos(x/2)dx=2∫xcos(x/2)d(x/2)=2∫xdsin(x/2)=2xsin(x/2)-2∫sin(x/2)dx=2xsin(x/2)-4∫sin(x/2)d(x/2)

∫xcos(1+x^2)dx=

原式=0.5∫cos(1+x²)d(x²)=0.5sin(1+x²)+C再问:能给下过程么?3Q再答:这都是可以直接积分的,xdx=0.5d(x²)=0.5d(

求不定积分∫xcos(x^2)dx

∫xcos(x^2)dx=∫cos(x^2)(xdx)=∫cos(x^2)(d(x^2)/2)=(1/2)∫cos(x^2)d(x^2)=(1/2)sin(x^2)+C

已知函数f(x)=a(cos^2 x+sin xcos x)+b.

1)f(x)=a(cos^2x+sinxcosx)+b=a/2(1+cos2x+sin2x)+b=a/2根号2sin(2x+π/4)+a/2+b2kπ-π/2=

求函数f(x)=(sin⁴x+cos⁴x+sin²xcos²x)/(2-si

f(x)={[(sinx)^2+(cosx)^2]^2-(sinxcosx)^2}/(2-sin2x)=[1-(sinxcosx)^2]/(2-2sinxcosx)=(1+sinxcosx)(1-si