sin(x+y)+e^xy=4 求y'

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 17:15:47
sin(x+y)+e^xy=4求y''sin(x+y)+e^xy=4求y''sin(x+y)+e^xy=4求y''用微分法:两边求微分cos(x+y)d(x+y)+e^(xy)d(xy)=0cos(x+y)

sin(x+y)+e^xy=4 求y'
sin(x+y)+e^xy=4 求y'

sin(x+y)+e^xy=4 求y'
用微分法:两边求微分
cos(x+y)d(x+y)+e^(xy)d(xy)=0
cos(x+y)(dx+dy)+e^(xy)(xdy+ydx)=0
[cox(x+y)+ye^(xy)]dx+[cos(x+y)+xe^(xy)]dy=0
所以
y'=dy/dx=-[cox(x+y)+ye^(xy)]/[cos(x+y)+xe^(xy)]