求y=sin（x）的导数 y=sin(x³)求导
\u6c42\u51fd\u6570y=sin(in x)\u7684\u5bfc\u6570\u5bfc\u6570\u4e3acos(lnx)/x
cos(x³)\u00b7(x³)'
=3x²cos(x³)
y'=cos(x);
cosx，一楼错了。
–cos（x）
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绛旓細y=sin²x=(1/2)(1-cos2x)y'=(1/2)*2sin(2x)=sin(2x)y''=2cos(2x)=2sin(2x+蟺/2)y'''=-4sin(2x)=4sin(2x+蟺)y^(4)=-8cos(2x)=8sin(2x+3蟺/2)y^(5)=16sin(2x)=16sin(2x+2蟺)y^(n)=[2^(n-1)]sin(2x+(n-1)蟺/2)姝ｅ鸡鍑芥暟 瀵逛簬浠绘剰涓涓疄...
绛旓細2)=y''=-sinx y^(3)=y'''=-cosx y^(4)=y'''=sinx 鈥︹﹁n=4k+m锛屽叾涓璳鈭圢锛宮=0,1,2,3 鍒檡^(n)=y^(m)= {銆sinx锛宮=0 {銆cosx锛宮=1 {銆-sinx锛宮=2 {銆-cosx锛宮=3 鍗(sinx)^(n)=sin(x+n蟺/2)鏁(sinx)^(5)=sin(x+5蟺/2)=sin(x+蟺/2)=cosx ...
