f(x)=x(2x π) 2cosx的间断点并判别类型

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已知f(x)=cos(-2x+a)(-π

f(x)=cos(-2x+a)(-π

已知函数f(x)=cos(2x-π/3)+sin^2x-cos^2x,设函数g(x)=[f(x)]^2+f(x),求g(

∵f(x)=cos(2x-π/3)+(sinx)^2-(cosx)^2=cos(2x-π/3)-cos2x=2sin(2x-π/6)sin(π/6)=sin(2x-π/6).∴g(x)=[sin(2x

已知f(x)=cos^2x/1+sin^2x求f'(π/4)

f(x)=[1+cos2x)/2]/[1+(1-cos2x)/2]=(1+cos2x)/(3-cos2x)=-1+4/(3-cos2x)f'(x)=-4/(2-cos2x)^2*(2-cos2x)'=

设f(x)=sin(x/2)+cos(2x),f(π)的27阶导数

f(x)=(1/2^0)·sin(x/2)+(2^0)·cos(2x)f‘(x)=(1/2)·cos(x/2)+(-2)·sin(2x)=(1/2^1)·cos(x/2)+(-2^1)·sin(2x)

设函数f(x)=2cos^2(x+π/6)-cos^2x

1)f(x)=1+cos(2x+π/3)-(1+cos2x)/2=1/2-sin2x根号3/2最小值1/2-根号3/2最小正周期π2)c带入得sinC=根号3/2C=π/3A=π-B-C=2π/3-a

已知函数f(x)=cos^2(x+π/12).

根据公式:COS^2a=(1+COS2a)/2a=(X+π/12)说句不好听的,你还是基本知识没掌握好,不会活用知识.希望你多背多看,看清题,把公式活用.

已知f(x) =sin^2 x +2sinx cos x + 3 cos^2 x ,x∈(0 ,π) .

f(x)=√2sin(2 x-π/4)+2f(x)max=√2+2;此时X=3π/8令(2 x-π/4)∈【-π/2,π/2】,解得x∈【-π/8,3π/8】,因为x∈(0&nbs

f(x)为奇函数,x>0,f(x)=sin 2x+cos x,则x

设x0所以f(-x)=sin2(-x)+cos(-x)=-sin2x+cosx因为f(x)为奇函数,所以f(-x)=-f(x)得f(x)=-f(-x)=sin2x-cosx(x

判断函数f(x)=cos(2π-x)-x³sin1/2x的奇偶性.

f(x)=cos(2π-x)-x³sin1/2x=cosx-x³sin1/2x函数定义域为Rf(-x)=cos(-x)-(-x)³sin(-1/2x)=cosx-x

求导f(x) = cos(3x) * cos(2x) + sin(3x) * sin(2x).

f(x)=cos(3x)*cos(2x)+sin(3x)*sin(2x)=cos(3x-2x)=cosxf'(x)=-sinx

f ' (sinx)=cos^2x,求f(x)

f'(sinx)=cos²x=1-sin²xf'(x)=1-x²f(x)=x-x^3/3

f(x)=cos(2x-派/3)-2sin x*cos (派/2+x)

令F’(x)=√3cos2x+sin2x=0,x1=kπ/2-π/6(k为偶数),x2=kπ/2-π/6(k为奇数)∴f(x)在x1极小,在x2处取极大值∴f(x)单调递减区间为[kπ/2-π/6,(

已知函数f(x)=cos(-x/2)+sin(π-x/2),x∈R

f(x)=cos(-x/2)+sin(π-x/2)=cosx/2+sinx/2f(a)=cos(a/2)+sin(a/2)=(2√10)/5cos(a/2)+sin(a/2)=(2√10)/5平方1+

已知f(x)=cos(x/2)[sin(x/2)-cos(x/2)],其导为?

f'(x)=-1/2*sin(x/2)*[sin(x/2)-cos(x/2)]+cos(x/2)[1/2cos(x/2)+1/2sin(x/2)]=-1/2*sin²(x/2)+1/2sin

已知函数f(x)=cos(2x-π/3)+sin^2 x-cos^2 x

f(x)=cos(2x-π/3)-(cos^2x-sin^2x)=cos(2x-π/3)-cos2x=2sin(2x-π/6)sinπ/6=sin(2x-π/6)因为y=sinx的单减区间为[π/2+

已知函数f(x)=cos(2x-π\3)+sin²x-cos²x

f(x)=cos(2x-π\3)+sin²x-cos²x=1/2cos2x+√3/2sin2x-cos2x=√3/2sin2x-1/2cos2x=-cos(2x+π\3)-1

已知函数 f(x)=sin2x+√2cos(x-π/4) 求f(x) 值域

f(x)=sin(2x)+√2cos(x-π/4)=sin(2x)+√2[cosxcos(π/4)+sinxsin(π/4)]=sin(2x)+cosx+sinx=sin(2x)+√2sin(x+π/

已知f(x)=sin(x/2) + cos(x/2) +[cos(x/2)]^2-1/2

你确定第一个符号是加号不是乘号?

化简f(x)=2cos(x/2)·(sin(x/2)+cos(x/2))-1

(1)f(x)=2cos(x/2)·(sin(x/2)+cos(x/2))-1=2cos(x/2)·sin(x/2)+2cos^2(x/2)-1=sinx+cosx(倍角公式)=√2sin(x+π/4

已知 向量m=(cos x/2,cos x/2),向量n=(cos x/2,sin x/2) 且x∈[0,π],而f(x

(1)f(x)=2nm+b=2(cosx/2的平方+cosx/2*sinx/2)+b=cosx+1+sinx+b(运用到正弦余弦的二倍角公式)=(根号2)*sin(x+45°)+1+b正弦的增区间在[