设Y=F(x)是由xy-x^3+siny-1/2=o确定,求y'

问题描述:

设Y=F(x)是由xy-x^3+siny-1/2=o确定,求y'

xy-x^3+siny-1/2=o
y+xy'-2x^2+y'cosy=0
y'=(2x^2-y)/(x+cosy)