Question

求下列函数导数dy/dx

Answer 1

5. 两边对x求导： y^2+2xyy'=y'e^y

得：y'=y^2/(e^y-2xy)

6. dx/dt=2(t+1)

dy/dt=2e^t+2te^t=2(t+1)e^t

dy/dx=(dy/dt)/(dx/dt)=e^t