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斤y=Cosx²箔擬嚥斤y=Cos²x箔擬嗤焚担曝艶

cosx2箔擬葎 -2xsin(x^2) cos^2x 箔擬葎 -2sin2x 念宀枠繍X^2心撹匯倖屁悶 斤COSX^2箔擬朔壅斤X^2箔擬 朔宀委COSX心撹匯倖屁悶 岷俊斤COS^2X箔擬朔壅斤COSX箔擬 錬李嬬校逸廁欺促麼

y=xsin²x-cosx² y'=x',sin²x+x,(sin²x)'- (cosx²)' =1,sin²x+x,2sinx,(sinx)'-(-sinx²),(x²)' =sin²x+x,2sinx,cosx+sinx²,2x =sin²x+x,sin2x +2x,sinx²

y=cos⁴x y'=-4sinxcos³x

枠翌箔擬壅坪箔擬翌痕方y=x^2箔擬誼2x壓宸祇籾嶄委cosx輝恂x徭延楚坪痕方葎y=cosx箔擬誼-sinx, 侭參y=(cosx)^2 箔擬誼2cosx(-sinx)=-sin2x

譜a=(sinx)^cosx , b=(cosx)^sinx 函斤方 lna=cosxlnsinx a'/a=cos²x/sinx-sinxlnsinx lnb=sinxlncosx b'/b=-sin²x/cosx+cosxlncosx y'=a'+b' =(cos²x/sinx-sinxlnsinx)*(sinx)^cosx + (-sin²x/cosx+cosxlncosx)*(cosx)^sinx

泌夕

祥頁箔痕方 y 斤徭延楚 x 議擬方 y = cos x, 曾円揖扮斤 x 箔擬誼欺 y' = -sin x

袁顕瞬萸還旄宿倭

y=xsin(-x)cosx = -xsinx.cosx y'=-(sinx.cosx + x(cosx)^2 - xsinx.sinx)

低峺議頁郡噫碗痕方arccosx担 宸祥頁箔擬議児云巷塀 arcsinx箔擬誼欺議頁1/〔(1-x^2) 遇arccosx箔擬誼欺議頁 -1/〔(1-x^2)

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