y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 12:21:01
y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细
y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.
y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.
y=sin^4(3x)cos^3(4x)的导数怎么求?过程请详细点.
y'=cos^3(4x)[sin^4(3x)]'+sin^4(3x)[cos^3(4x)]'
=cos^3(4x)[4*3sin³(3x)cos(3x)]+sin^4(3x)[-3*4cos²(4x)sin(4x)]
=12sin³(3x)cos(3x)cos^3(4x)-12sin^4(3x)sin(4x)cos²(4x)
=12sin³(3x)cos²(4x)[cos(3x)cos(4x)-sin(3x)sin(4x)]
=12sin³(3x)cos²(4x)cos(7x) (应用三角函数的和差化积公式)
y'=[sin^4(3x)]'cos^3(4x)+sin^4(3x)[cos^3(4x)]'
=4sin^3(3x)*(sin3x)'*cos^3(4x)+sin^4(3x)*3cos^2(4x)*(cos4x)'
=4sin^3(3x)*cos(3x)*(3x)'*cos^3(4x)+sin^4(3x)*3cos^2(4x)*[-(sin4x)](4x)'
=12sin^3(3x)cos(3x)*cos^3(4x)-12sin^4(3x)*cos^2(4x)*(sin4x)
使用软件计算得:
4*(3*cos(3*x))*sin(3*x)^3*cos(4*x)^3+sin(3*x)^4*(3*(-4*sin(4*x))*cos(4*x)^2)
证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4
化简y=sin^2(x)+2sin(x)cos(x)+3cos^2(x)
y=2cos(x/4+ π/3)-3sin(x- π/4)y=sin(4x- π/3)-cos(3x+π/2)
求y=sin^5x ,y=cos(4x+3) 的导数,
y =(cos^2) x - sin (3^x),求y'
y=sin^2x-3sinxcosx+4cos^2x是否等于y=sin^2x+cos^2x+3cos^2x-3/2*sin2x?y=sin^2x-3sinxcosx+4cos^2xy=sin^2x+cos^2x+3cos^2x-3/2*sin2x=1+3cos^2x-3/2*sin2x=1+3(1-sin^2x)-3/2*sin2x=-3sin^2x-3/2*sin2x+4
Sin x-sin y=2/3 cos x-cos y=1/2 求cos(x-y)
已知点p(x,y)为曲线C:{x=3sinθ 4cosθ y=4sinθ-3cosθ上动点若不等式x m
求函数y=cos(9/2π+x)+sin^2x的最大值和最小值还有一题 已知sinx+cosx=1/2,求sin^3x+cos^3x和sin^4x+cos^2x
y=4sin(3x+(π/4))+3cos(3x+(π/4)),求周期
y=(4-3sin x)(4-3cos x)最小值
函数y=3sin(x/3)+4cos(x/3)的最大值.
y=sin^4x+2√3 sinxcosx-cos^4x 化简
y=cos^4x-sin^4x的周期是 3Q
y=sin(x+7派/4)+cos(x-3派/4)
y=sin(2x-π/4)+cos(3x+π/3)的导数
求y=2sin(x/2)-3cos(3x/4)的最小正周期
函数Y=4cos(x-20°)+3sin(x+10°)的最大值