z=e^uv,u=x^3,v=sinx,求dz⼀dx

2025-02-27 22:14:31
推荐回答(1个)
回答1:

求导数得到dz/dx
=dz/du *du/dx +dz/dv *dv/dx
=v *e^uv *(x^3)' +u *e^uv *(sinx)'
而(x^3)'=3x^2,(sinx)'=cosx
所以dz/dz=v *e^uv *3x^2 +u *e^uv *cosx