Tan2分之x的导数是多少
cos二分之x乘cos二分之x减sin二分之x乘负的sin二分之x 整体除以-sin二分之x的平方绛旓細cos浜屽垎涔媥涔榗os浜屽垎涔媥鍑弒in浜屽垎涔媥涔樿礋鐨剆in浜屽垎涔媥 鏁翠綋闄や互-sin浜屽垎涔媥鐨骞虫柟
绛旓細(tan2/x)=sec^2锛2/x *锛2/x锛夛紳sec锛2/x锛*锛-2/x锛夛紳-2/x sec锛2/x锛夊鏁帮紙Derivative锛夛紝涔熷彨瀵煎嚱鏁板笺傚鏋滃嚱鏁癴(x)鍦(a,b)涓瘡涓鐐瑰閮藉彲瀵硷紝鍒欑Оf(x)鍦(a,b)涓婂彲瀵硷紝鍒欏彲寤虹珛f(x)鐨勫鍑芥暟锛岀畝绉板鏁帮紝璁颁负f'(x)濡傛灉f(x)鍦(a,b)鍐呭彲瀵硷紝涓斿湪鍖洪棿绔偣a澶勭殑鍙...
绛旓細锛2/x鐨骞虫柟*锛坰ec2/x锛夌殑骞虫柟锛屽叕寮忔鍒鐨勫鏁版槸姝ｅ壊鐨勫钩鏂癸紝濡傛灉涓嶇煡閬撳氨鎶婃鍒囧寲鎴愭鐜勯櫎浣欑巹鐨勮寮忔眰瀵
绛旓細-2*ln|cos(x/2)| +C(C涓哄父鏁扮殑)瀵兼暟鏄tan2鍒嗕箣X銆傝В锛氫护f(x)=tan(x/2)锛孎(x)鐨勫鏁颁负f(x)=tan(x/2)銆傞偅涔團(x)=鈭玣(x)dx=鈭玹an(x/2)dx=2*鈭玸in(x/2)/cos(x/2)d(x/2)=-2*鈭1/cos(x/2)dcos(x/2)=-2*ln|cos(x/2)| +C锛孋涓哄父鏁般傚嵆-2*ln|cos(x/2...
绛旓細瑙ｏ細tanx/2銆=锛坰inx/2)/锛坈osx/2锛=2锛坰inx/2锛²/锛2sinx/2✖️cosx/2锛=锛1-cosx锛/sinx =sinx/锛1+cosx锛夈傜浉鍏冲唴瀹硅В閲婏細涓嶆槸鎵鏈夌殑鍑芥暟閮芥湁瀵兼暟锛屼竴涓嚱鏁颁篃涓嶄竴瀹氬湪鎵鏈夌殑鐐逛笂閮芥湁瀵兼暟銆傝嫢鏌愬嚱鏁板湪鏌愪竴鐐瑰鏁板瓨鍦紝鍒欑О鍏跺湪杩欎竴鐐鍙锛屽惁鍒欑О涓轰笉鍙銆傜劧鑰...
绛旓細姹倅=tan(x/2)鐨勫鏁扮殑瀵兼暟 鎴戞潵绛 1涓洖绛 #鐑# 浣滀负濂虫,浣犵敓娲讳腑鏈夋劅鍙楀埌鈥滀笉瀹夊叏鎰熲濈殑鏃跺埢鍚?澶╃綏缃17 2022-08-04 路 TA鑾峰緱瓒呰繃460涓禐 鐭ラ亾绛斾富 鍥炵瓟閲:129 閲囩撼鐜:78% 甯姪鐨勪汉:34.4涓 鎴戜篃鍘荤瓟棰樿闂釜浜洪〉 灞曞紑鍏ㄩ儴 宸茶禐杩 宸茶俯杩< 浣犲杩欎釜鍥炵瓟鐨勮瘎浠锋槸? 璇勮 鏀惰捣 ...
绛旓細y=tan(x/2)dy/dx =[sec(x/2)]^2.d/dx(x/2)=(1/2)[sec(x/2)]^2 (sinx)'=cosx (cosx)'=-sinx (tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2 -(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2 (secx)'=tanx路secx (cscx)'=-cotx路cscx (arcsinx)'=1/(1-x^2)^1...
绛旓細y= tan(x/2)dy/dx = [sec(x/2)]^2 .d/dx(x/2)=(1/2)[sec(x/2)]^2 (sinx)' = cosx (cosx)' = - sinx (tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2 -(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2 (secx)'=tanx路secx (cscx)'=-cotx路cscx (arcsinx)'=1/(...
绛旓細绛旀鏄惁瀵癸紵浼犲浘璁ㄨ銆
绛旓細锛1锛夎u=tanx锛屽垯tan²x鍙互琛ㄧず鎴恥²銆傦紙2锛夊tan²x鐨勬眰瀵兼槸涓涓鍚堝嚱鏁版眰瀵硷紝y=tan²x=u²锛屽厛瀵箄姹傚锛寀²鐨勫鏁扮瓑浜2u锛岀劧鍚庡啀瀵箃anx姹傚锛宼anx鐨勫鏁颁负sec²x銆傦紙3锛夋晠锛歵an²x=锛坱an²x锛'锛坱anx锛'=锛坲²锛'锛坱anx锛'...
