括号里的函数如何求对x的导数~想知道详细过程~谢谢o(∩_∩)o

2025-05-18 00:41:09
推荐回答(1个)
回答(1):

[x/√(x²+y²)]'
=[x'·√(x²+y²)-x·√(x²+y²)']/√(x²+y²)²
={√(x²+y²)-[x/2√(x²+y²)]·(2x+2y·y'}/(x²+y²)
=[x²+y²-x·(x+y·y')]/(x²+y²)^(3/2)
=(y²-xy·y')/(x²+y²)^(3/2)