sinx的平方的导数是什么怎么求啊
1.y=sinxy=2sinx·(sinx)
=2sincosx
=sin2x
2.y=sin(x)
y=cos(x)·(x)
=2x·cos(x)
扩展资料
常用导数公式：
1.y=c(c为常数) y'=0
2.y=x^n y'=nx^(n-1)
3.y=a^x y'=a^xlna，y=e^x y'=e^x
4.y=logax y'=logae/x，y=lnx y'=1/x
5.y=sinx y'=cosx
6.y=cosx y'=-sinx
7.y=tanx y'=1/cos^2x
8.y=cotx y'=-1/sin^2x
9.y=arcsinx y'=1/√1-x^2
10.y=arccosx y'=-1/√1-x^2
11.y=arctanx y'=1/1+x^2
12.y=arccotx y'=-1/1+x^2
绛旓細sinx鐨勫钩鏂姹傚濡備笅锛氬厛姹傚鍑芥暟y=锛坰inx锛²锛屽啀姹傚唴鍑芥暟sinx鐨勫鏁锛屽嵆cosx銆傛晠锛坰inx锛²鐨勫鏁颁负2sinxcos锛屼篃灏辨槸sin2x銆備笉鏄墍鏈夌殑鍑芥暟閮藉彲浠ユ眰瀵硷紱鍙鐨勫嚱鏁颁竴瀹氳繛缁紝浣嗚繛缁殑鍑芥暟涓嶄竴瀹氬彲瀵硷紙濡倅=|x|鍦▂=0澶勪笉鍙锛夈傝嫢鏌愬嚱鏁板湪鏌愪竴鐐瑰鏁板瓨鍦紝鍒欑О鍏跺湪杩欎竴鐐瑰彲瀵硷紝鍚﹀垯绉...
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绛旓細sin(2x)[ sin^2(x) ]'= 2 sin(x) *[ sin(x) ]'= 2 sin(x) * cos(x)= sin(2x)
