Question

2y=-1+xy3(y的三次方),对x求导,答案是2y'=y的三次方+3x乘以y的2次方乘以y' 求解释,谢谢

Answer 1

两边分别求导,得

(2y)'=(-1+xy^3)'

2y'=(xy^3)'

2y'=x'y^3+x(y^3)' (uv)'=u'v+uv'

2y'=y^3+x*3y^2*y'

2y'=y^3+3xy^2*y'