y = cos ( x+ y)
y' = [ cos ( x + y )]' * ( x + y)' é¾å¼æ³åï¼å
æ±å¤é¢çå½æ°ç导æ°ï¼åæ±éé¢å½æ°ç导æ°ã
y' = -sin ( x + y ) * ( 1 + y') å½æ°æ±å¯¼æ³åï¼cos ( x+y)ç导æ°æ¯-sin(x+y),åé¢æ¬å·é é¢xç导æ°æ¯1ï¼yç导æ°æ们ç°å¨è¿ä¸ç¥éï¼æ£æ¯æ们è¦æ± çï¼ï¼æ以ç¨y'表示ã
y' = -sin ( x + y ) + y' * [-sin (x + y)] è¿éæï¼1+y'ï¼ä¹åºæ¥å°±å¯ä»¥äºã
y' + y'sin ( x + y ) = -sin ( x + y ) è¿éæy'ç»ä¸ç§»è¿å»ã
y' * [ 1 + sin ( x + y ï¼] = -sin ( x + y ) å并å类项ã
y' = -sin ( x + y )/1 + sin ( x + y ) è¿æ ·å°±å¯ä»¥æ±y'äºã
温馨提示:内容为网友见解,仅供参考