设函数y=f(x)由方程e^xy -2x^2-y=3所确定.求dy/dx
问题描述:
设函数y=f(x)由方程e^xy -2x^2-y=3所确定.求dy/dx
答
e^(xy)(y+xdy/dx)-4x-dy/dx=0;
dy/dx(xe^(xy)-1)=-ye^(xy)+4x;
dy/dx=(4x-ye^(xy))/(xe^(xy)-1).