y=sin^4 x/4 + cos^4 x/4 求导数 …………

学习 时间:2026-03-30 08:54:54 阅读:7637
y=sin^4 x/4 + cos^4 x/4 求导数 …………

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2026-03-30 08:54:54

y=sin^4 x/4 + cos^4 x/4 y'=4sin^3(x/4)*cos(x/4)*(1/4)+4cos^3(x/4)*(-sinx/4)*(1/4)=sin^3(x/4)cos(x/4)-cos^3(x/3)sin(x/4)=sin(x/4)cos(x/4)[sin^2(x/4)-cos^2(x/4)]=(sinx/2)/2 * (-cosx/2)=(-sinx)/4y=(sin^4 x/4 + cos^4 x/4)=(sin^2(x/4)+cos^2(x/4))²-2sin^2(x/4)cos^2(x/4)=1-2sin^2(x/4)cos^2(x/4)=1-(1/2)(sinx/2)²求导y=-1/2 * 2(sinx/2) *cos(x/2) *(1/2)=(-1/4)sinx

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  • 瘦瘦的烤鸡
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    2026-03-30 08:54:54

    y=sin^4 x/4 + cos^4 x/4 y'=4sin^3(x/4)*cos(x/4)*(1/4)+4cos^3(x/4)*(-sinx/4)*(1/4)=sin^3(x/4)cos(x/4)-cos^3(x/3)sin(x/4)=sin(x/4)cos(x/4)[sin^2(x/4)-cos^2(x/4)]=(sinx/2)/2 * (-cosx/2)=(-sinx)/4y=(sin^4 x/4 + cos^4 x/4)=(sin^2(x/4)+cos^2(x/4))²-2sin^2(x/4)cos^2(x/4)=1-2sin^2(x/4)cos^2(x/4)=1-(1/2)(sinx/2)²求导y=-1/2 * 2(sinx/2) *cos(x/2) *(1/2)=(-1/4)sinx

上一篇 求两个含“雨”的成语

下一篇 2道1.如图1,点B、F、C、E在同一直线上,FB=CE,AB‖ED,AC平行FD 求证AB=DE,AC=DF2.如图2