隐函数,y=e的x+y次幂怎么求导
问题描述:
隐函数,y=e的x+y次幂怎么求导
y=e^x+y
x^3+y^3+cos(x+y)=0
ln根号下x^2+y^2 -arctany/x=2
xcosy=sin(x+y)
cos(x^2y)=x
这五道题怎么求导,都是高数中的隐函数求导。
y'=y/1-y
y'=3x^2-sin(x+y)/sin(x+y)-3y^2
y'=y+x/x-y
y'=cosy-cos(x+y)/cos(x+y)+xsiny
y'=- 1-2xysin(x^2*y)/x^2*sin(x^2*y)
答