大学微积分计算题1 大学数学微积分计算题？
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绛旓細濡備笂鍥炬墍绀恒
绛旓細c'=0(c涓哄父鏁帮級 (x^a)'=ax^(a-1),a涓哄父鏁颁笖a鈮0 (a^x)'=a^xlna (e^x)'=e^x (logax)'=1/(xlna),a>0涓 a鈮1 (lnx)'=1/x (sinx)'=cosx (cosx)'=-sinx (tanx)'=(secx)^2 (secx)'=secxtanx (cotx)'=-(cscx)^2 (cscx)'=-csxcotx (arcsinx)'=1/鈭(1-x^...
绛旓細鍩烘湰杩囩▼濡備笅锛氳繖閬撻鐩緢鍩虹锛岀敤鍒扮殑閮芥槸姣旇緝鍩虹鐨勭煡璇嗭紝鍏蜂綋鐨勫寲绠鏂规硶鍙兘鍥犱汉鑰屽紓銆傚鏋滃彲鑳界殑璇濓紝澶氳姳鐐瑰績鎬濆湪瀛︿範涓婂惂銆
绛旓細lim(n->鏃犵┓)鈭(0->1) x^(n-1) dx =lim(n->鏃犵┓) (1/n) x^n |(0->1)=lim(n->鏃犵┓) (1/n)=0 ans :B
绛旓細棣栧厛姹傜壒瑙ｏ紝瑙傚療鍙互鐪嬪嚭y' = c(x+1)^(5/2)鍙兘鏄釜鐗硅В锛屽緟浜哄緱鍒 2.5 c (x+1)^(3/2) - 2c (x+1)^(3/2) = 0.5c (x+1)^(3/2)鎵浠=2 鐗硅В2(x+1)^(5/2)瀵逛簬dy/dx - 2y/(x+1)=0 寰楀埌dy/y = 2dx/(x+1)鎵浠n y = 2ln(x+1)+C 鎵浠ユ柟绋嬭В涓 y=...
绛旓細澶у寰Н鍒棰樼洰姹傝В,绛旀鏄1鏉ョ潃,涓嶆槑鐧藉師寮=鈭玔鏃犵┓澶,e]1/(x(lnx)^2)dx=鈭玔鏃犵┓澶,e]1/(lnx)^2d(lnx)=鈭玔鏃犵┓澶,1]1/t^2dt=-1/t|[鏃犵┓澶,1]=1
绛旓細dv/dt=-a 鈶 瀵光憼寮忎袱杈规眰绉垎寰楋細ds/dt=at+C1 s=1/2at^2+C1t+C2 瀵光憽寮忎袱杈规眰绉垎寰楋細v=-at+C3 浠ｅ叆s=0,t=0,v=200/9鍒扳憼鈶′袱寮忓緱鍒癈1=0 C2=0 C3=200/9 鍗筹細260=1/2at^2 200/9=at 鑱旂珛瑙ｅ緱锛歛=1000/1053=0.95 绛旓細鍦260鍏昂鍐呴渶瑕0.95m/s鐨勬柟鍚戠浉鍙嶇殑鍔犻熷害...
绛旓細瑙佸浘
绛旓細涓嶅畾绉垎缁撴灉涓嶅敮涓姹傚楠岃瘉搴旇鑳藉鎻愰珮鍑戝井鍒嗙殑璁＄畻鑳藉姏鍏堝啓鍒棶鍞夈傜被浼硷紝瀹氱Н鍒嗘崲鍏冩硶銆
绛旓細绗笁锛屽綊绫诲皬缁擄紝浠庡帤鍒拌杽銆傝蹇嗘荤殑鍘熷垯鏄姄绾诧紝鍦ㄧ敤涓銆傚綊绫诲皬缁撴槸涓涓噸瑕佹柟娉曘楂樼瓑鏁板褰掔被鏂规硶鍙寜鍐呭鍜屾柟娉曚袱閮ㄥ垎灏忕粨锛屼互浠ｈ〃鎬ч棶棰樹负渚嬭緟浠ヨ鏄庛傚湪褰掔被灏忚妭鏃讹紝瑕佺壒鍒敞鎰忔湁鍩虹鍐呭娲剧敓鍑烘潵鐨勪竴浜涚粨璁猴紝鍗虫墍璋撲竴浜涗腑闂寸粨鏋滐紝杩欎簺缁撴灉甯稿父鍦ㄤ竴浜涘吀鍨渚嬮鍜屼範棰樹笂鍑虹幇锛屽鏋滀綘鑳藉鎺屾彙涓浜涗腑闂...
