设y=sin(x^4),则dy⼀d(x^2)=?

2024-12-16 02:41:15
推荐回答(2个)
回答1:

设x^2=a则y=sin(a^2)
∴dy/d(x^2)=dy/da=dsin(a^2)/da=cos(a^2)*da^2/da=2acos(a^2),
将a=x^2代入式中即可得dy/d(x^2)=2x^2cos(x^4).

回答2:

dy/d(x^2)
也就是对x^2求导数
sin[(x^2)^2]
所以2sin(x^2)*cos(x^2)