求w=uv⼀(u*2+v*2)的偏导数

2024-12-19 17:05:12
推荐回答(1个)
回答1:

w = uv/(u²+v²)
∂w/∂u = [v(u²+v²)-2uuv]/(u²+v²)² = (v²-u²)v/(u²+v²)²
∂w/∂v = (u²-v²)u/(u²+v²)²