dx/dt神马意思啊？求大神解答？
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x为因变量，t为自变量，对t求导绛旓細dx鏄井鍒嗙殑鎰忔濄傚井鍒嗗湪鏁板涓殑瀹氫箟锛氱敱鍑芥暟B=f(A)锛屽緱鍒癆銆丅涓や釜鏁伴泦锛屽湪A涓綋dx闈犺繎鑷繁鏃讹紝鍑芥暟鍦╠x澶勭殑鏋侀檺鍙綔鍑芥暟鍦╠x澶勭殑寰垎锛屽井鍒嗙殑涓績鎬濇兂鏄棤绌峰垎鍓层傚井鍒嗘槸鍑芥暟鏀瑰彉閲忕殑绾挎т富瑕侀儴鍒嗐傚井绉垎鐨勫熀鏈蹇典箣涓銆傞氬父鎶婅嚜鍙橀噺x鐨勫閲 螖x绉颁负鑷彉閲忕殑寰垎锛岃浣渄x锛屽嵆dx = 螖x銆備簬鏄...
绛旓細dx鏁板涓殑鎰忔濇槸寰厓銆俤x鏄x鐨勫井鍒嗐備篃鍙悊瑙ｄ负鈥滃井鍏冣濓紝鍗宠嚜鍙橀噺x鐨勫緢灏忎竴娈碉紝鎴栬厁杞翠笂寰堝皬鐨勪竴娈碉紙寰堝皬鐨勬剰鎬濇槸锛屾病鏈夋瘮瀹冩洿灏忕殑锛屼絾瀹冧笉绛変簬闆讹級銆傚井鍒嗙殑鍑犱綍鎰忎箟锛屽氨鍦ㄤ簬瀹冨彲浠ュ湪灞閮ㄧ敤鐩寸嚎鍘昏繎浼间唬鏇挎洸绾匡紝璇樊鍙笉杩囨槸涓涓叧浜巇x鐨勬棤绌峰皬閲忥紝鍙互蹇界暐涓嶈銆俤x鐨勭敱鏉ワ細寰垎绗﹀彿鏄167...
绛旓細dx鏄竴涓棤绌峰皬閲忥紝鎰忎箟鏄浜巟鐨勫井鍒嗭紝x鏄鍑芥暟锛屼篃鍙互璁颁綔:dy/dx銆乫'(x)銆亂'銆備竴銆佸惈涔変笉鍚岋細X澧為噺锛dX鏄彉閲忥紝鍓嶈呮槸瀹忚鐨勶紝鍚庤呮墠鏄井鍒嗘湳璇傚鏋滄澶勭殑x鏄嚜鍙橀噺锛宒x=x锛岄氬父鎶婅嚜鍙橀噺x鐨勫閲忊柍x绉颁负鑷彉閲忕殑寰垎锛岃浣渄x锛涘鏋滆繖閲岀殑x鏄洜鍙橀噺锛岄偅涔堟妸鑷彉閲忓啓浣測鐨勮瘽锛寈鏄彉鍖栭噺...
绛旓細dx 鏄井鍒嗙鍙枫傞氬父鎶婅嚜鍙橀噺 x 鐨勫閲 螖x 绉颁负鑷彉閲忕殑寰垎锛岃浣 dx锛屽嵆 dx = 螖x銆備簬鏄嚱鏁 y = f(x) 鐨勫井鍒嗗張鍙浣 dy = f'(x)dx銆傚嚱鏁扮殑寰垎涓庤嚜鍙橀噺鐨勫井鍒嗕箣鍟嗙瓑浜庤鍑芥暟鐨勫鏁般傚洜姝わ紝瀵兼暟涔熷彨鍋氬井鍟嗐俤(5x+11) 鍙互鐞嗚В涓鸿嚜鍙橀噺 (5x+11) 鐨勫井鍒嗭紝d(5x+11) = 5dx锛屾墍...
绛旓細Dx灏辨槸鍏充簬x鐨勫井鍒,鍗冲湪涓涓惈x鐨勫紡瀛愪腑瀵箈姹傚.Dy灏辨槸鍏充簬y鐨勫井鍒,鍗冲湪涓涓惈y鐨勫紡瀛愪腑瀵箈姹傚.dx涓嶆槸x鐨勫彉鎹㈤噺锛寈鐨勫彉鍖栭噺鏄磝锛岃屛磝鍜宒x鏄袱涓畬鍏ㄤ笉鍚岀殑姒傚康銆偽磝鏄潪绾挎у彉鍖栭噺锛岃宒x鏄嚎鎬у彉鍖栭噺锛屽畠浠箣闂寸殑鑱旂郴浼氬湪宸ョ▼鏁板艰В鏋愭硶涓彂鎸ユ棤涓庝鸡姣旂殑宸ㄥぇ浣滅敤銆俤x瀵瑰簲鐨剏鍙玠y锛岃繖...
绛旓細d/dx鏄眰瀵 濡俤(x^2)/dx灏卞y=x^2姹傚銆傛煇鐐瑰鏁扮殑鍑犱綍鎰忎箟灏辨槸鍑芥暟鍥惧儚璇ョ偣澶勫垏绾跨殑鏂滅巼 濡倅=x^2 dy/dx=2x y=x^2鎶涚墿绾(1,1)鐐瑰垏绾跨殑鏂滅巼鏄痙y(1)/dx=2 鈭被浼兼眰鍜岀鍙,dx鏄棤绌峰皬 鏃犵┓涓棤绌峰皬姹傚拰灏辨槸绉垎,鈭拰d鐩搁亣,灏变负d鍚庨潰璺熺潃鐨勪笢瑗 dx鐨勮繍绠楀氨鏄井鍒嗙殑杩愮畻.dx瀹屽叏鍙互...
绛旓細Dx灏辨槸鍏充簬x鐨勫井鍒,鍗冲湪涓涓惈x鐨勫紡瀛愪腑瀵箈姹傚.Dy灏辨槸鍏充簬y鐨勫井鍒,鍗冲湪涓涓惈y鐨勫紡瀛愪腑瀵箈姹傚.dx涓嶆槸x鐨勫彉鎹㈤噺锛寈鐨勫彉鍖栭噺鏄磝锛岃屛磝鍜宒x鏄袱涓畬鍏ㄤ笉鍚岀殑姒傚康銆偽磝鏄潪绾挎у彉鍖栭噺锛岃宒x鏄嚎鎬у彉鍖栭噺锛屽畠浠箣闂寸殑鑱旂郴浼氬湪宸ョ▼鏁板艰В鏋愭硶涓彂鎸ユ棤涓庝鸡姣旂殑宸ㄥぇ浣滅敤銆俤x瀵瑰簲鐨剏鍙玠y锛岃繖...
绛旓細閫氬父鎶婅嚜鍙橀噺x鐨勫閲 螖x绉颁负鑷彉閲忕殑寰垎锛岃浣dx锛屽嵆dx = 螖x锛屼簬鏄嚱鏁皔 = f(x)鐨勫井鍒嗗張鍙浣渄y = f'(x)dx銆傚嚱鏁板洜鍙橀噺鐨勫井鍒嗕笌鑷彉閲忕殑寰垎涔嬪晢绛変簬璇ュ嚱鏁扮殑瀵兼暟锛屽洜姝わ紝瀵兼暟涔熷彨鍋氬井鍟嗐傚井鍒嗗巻鍙诧細鏃╁湪甯岃厞鏃舵湡锛屼汉绫诲凡缁忓紑濮嬭璁恒屾棤绌枫嶃併屾瀬闄愩嶄互鍙娿屾棤绌峰垎鍓层嶇瓑姒傚康銆傝繖浜涢兘鏄井...
绛旓細dx 鏄井鍒嗙鍙枫傞氬父鎶婅嚜鍙橀噺 x 鐨勫閲 螖x 绉颁负鑷彉閲忕殑寰垎锛岃浣 dx锛屽嵆 dx = 螖x銆備簬鏄嚱鏁 y = f(x) 鐨勫井鍒嗗張鍙浣 dy = f'(x)dx銆傚嚱鏁扮殑寰垎涓庤嚜鍙橀噺鐨勫井鍒嗕箣鍟嗙瓑浜庤鍑芥暟鐨勫鏁般傚洜姝わ紝瀵兼暟涔熷彨鍋氬井鍟嗐俤(5x+11) 鍙互鐞嗚В涓鸿嚜鍙橀噺 (5x+11) 鐨勫井鍒嗭紝d(5x+11) = 5dx锛...
绛旓細dx鏁板涓殑鎰忔濇槸寰厓銆俤x鏄x鐨勫井鍒嗐備篃鍙悊瑙ｄ负鈥滃井鍏冣濓紝鍗宠嚜鍙橀噺x鐨勫緢灏忎竴娈碉紝鎴栬厁杞翠笂寰堝皬鐨勪竴娈碉紙寰堝皬鐨勬剰鎬濇槸锛屾病鏈夋瘮瀹冩洿灏忕殑锛屼絾瀹冧笉绛変簬闆讹級銆傚井鍒嗙殑鍑犱綍鎰忎箟锛屽氨鍦ㄤ簬瀹冨彲浠ュ湪灞閮ㄧ敤鐩寸嚎鍘昏繎浼间唬鏇挎洸绾匡紝璇樊鍙笉杩囨槸涓涓叧浜巇x鐨勬棤绌峰皬閲忥紝鍙互蹇界暐涓嶈銆俤x鐨勭敱鏉ワ細寰垎绗﹀彿鏄...
