微积分问题，求大神
\u5fae\u79ef\u5206\u9898\u76ees\u5173\u4e8et\u7684\u5bfc\u6570\u5c31\u662f\u901f\u5ea6v
ds/dt=3t^2-1/t^2
\u5f53t=4\u65f6\uff0cds/dt=v=765/16 m/s
\u6211\u5c3d\u53ef\u80fd\u4ed4\u7ec6\u53c8\u8be6\u7ec6\u5730\u7ed9\u4f60\u89e3\u7b54\u671b\u91c7\u7eb3\u54e6
最简单
绛旓細浣犲ソ锛佺瓟妗堝鍥炬墍绀猴細寰堥珮鍏磋兘鍥炵瓟鎮ㄧ殑鎻愰棶锛屾偍涓嶇敤娣诲姞浠讳綍璐㈠瘜锛屽彧瑕佸強鏃堕噰绾冲氨鏄鎴戜滑鏈濂界殑鍥炴姤銆傝嫢鎻愰棶浜鸿繕鏈変换浣曚笉鎳傜殑鍦版柟鍙殢鏃惰拷闂紝鎴戜細灏介噺瑙ｇ瓟锛岀鎮ㄥ涓氳繘姝ワ紝璋㈣阿銆傚鏋闂瑙ｅ喅鍚庯紝璇风偣鍑讳笅闈㈢殑鈥滈変负婊℃剰绛旀鈥濆涔楂樼瓑鏁板鏈夎嚜韬殑鐗圭偣锛岀粌涔犱竴鑸垎涓轰袱绫伙紝涓鏄熀纭璁粌缁冧範锛岀粡甯搁檮鍦...
绛旓細锛1锛夊畾绉垎鍒嗘垚涓や釜 鏍规嵁绉垎鍙橀噺鐨勫彇鍊艰寖鍥村幓鎺夌粷瀵瑰肩鍙 锛2锛夋眰瀵煎緱鍒板垏绾挎枩鐜 鐐规枩寮忓緱鍒板垏绾挎柟绋 锛3锛夊畾绉垎璁＄畻闈㈢Н 杩囩▼濡備笅锛氾紙4锛夛紙1锛夋绘敹鍏ワ紳浠锋牸脳閿鍞噺 锛2锛夊埄娑︼紳鎬绘敹鍏ワ紞鎬绘垚鏈 锛3锛夋眰瀵硷紝寰楀埌鏈澶у肩偣 锛4锛変唬鍏ユ渶澶у肩偣锛屽緱鍒版渶澶у 锛5锛塸锛800锛嶆渶澶у肩偣 杩囩▼濡備笅...
绛旓細1 lim(x鈫3锛寉鈫0)sin(xy)/tan(xy)=lim(x鈫3,y鈫0)sin(xy)'/tan(xy)'=lim(x鈫3锛寉鈫0)xcos(xy)/[x/(cos(xy))^2]=lim(x鈫3锛寉鈫0)cos(xy)=1 2 lim(x鈫0,y鈫2) (1+sin(xy))^(y/x)=lim(x鈫0,y鈫2)锛1+sin(xy))^(y/sin(xy))^(sin(xy)/x)=lim(x...
绛旓細鏂板勾濂斤紒Happy Chinese New Year 锛1銆佹湰棰樻槸灞炰簬鍙垎绂诲彉閲忓瀷涓闃跺父寰垎鏂圭▼锛2銆佽В绛旀柟娉曟槸杩愮敤鍒嗗紡鐨勬湁鐞嗗垎瑙artial fraction锛3銆佸叿浣撹В绛斿涓嬶紝鑻ョ偣鍑绘斁澶э紝鍥剧墖浼氭洿鍔犳竻鏅般
绛旓細棰樼洰鏈夌偣灏闂锛鍥村浘褰㈤潰绉繕瑕亁杞淬傞潰绉疭锛濃埆銆1鈫2銆慹^xdx锛漞²锛峞锛屼綋绉疺锛濃埆銆1鈫2銆2蟺e^2x dx 锛濃埆銆2鈫4銆懴e^2x d2x 锛濓紙e²锛1锛塭²蟺 銆
绛旓細鍒嗕韩涓绉嶈В娉曪紝鍒╃敤鈥滀冀鐜涘嚱鏁般愇(伪)=鈭(0,鈭)[t^(伪-1)]e^(-t)dt锛屛>0鏃舵敹鏁涒濇眰瑙ｃ傝st=x銆傗埓鍘熷紡=(A/s²)鈭(0,鈭)xe^(-x)dx=(A/s²)螕(2)銆傝岋紝螕(2)=1锛屸埓鍘熷紡= A/s²銆備緵鍙傝冦
绛旓細2.13鐗硅В鐪嬩笉娓
绛旓細1.鍘熷紡=lim(x鈫1)(x^3-x^2+x^2-x-2x+2)/(x^3-x^2-x+1)=lim(x鈫1)(x^2(x-1)+x(x-1)-2(x-1))/(x^2(x-1)-(x-1))=lim(x鈫1)(x^2+x-2)/(x^2-1)=lim(x鈫1)[(x+2)(x-1)]/[(x+1)(x-1)]=lim(x鈫1)(x+2)/(x+1)=3/2 2.涓よ竟瀵箈姹傚...
绛旓細1銆佹樉鐒秄(x)=(5-3x)^4 (2+x^2)^5 寰楀埌鍏充簬x鐨勬渶澶ф鏂逛负14娆℃柟 閭ｄ箞姹傚15闃朵箣鍚庯紝寰楀埌鐨勫鏁板綋鐒舵亽绛変簬0 鍗砯(15) (3)=0 2銆亁鐨勬渶澶ф鏁颁负2锛岀敱鑾卞竷灏艰尐鍏紡寰楀埌 姹倅瀵箈姹50娆″鏁帮紝鍙冭檻瀵箈姹傚0锛1锛2娆 鏁厃(50)=x^2 *(sin2x)(50) +C(50,1) x *(sin2x)(49) +...
绛旓細y=3X+2*216/x y'=3-432/x^2=0 x=卤12 鑸嶅幓-12 216/12=18 涓棿澧欏拰鍏朵袱杈瑰12绫筹紝鍙︿竴杈18绫 灏变竴涓┗鐐癸紝灏辨槸鏈澶у肩偣锛屾病姹傛绘潗鏂欙紝涓嶉渶瑕佹眰f(12)
