关于幂函数求导问题

2025-06-27 13:01:55
推荐回答(1个)
回答1:

1,u=(x+y)^(1/2)
∂u/∂x=(1/2)(x+y)^(1/2-1)=(1/2)/(x+y)^(1/2)
∂u/∂y=(1/2)(x+y)^(1/2-1)=(1/2)/(x+y)^(1/2)
2,∫ x^(1/2) dx=1/(1+1/2)x^(1+1/2)+c=(2/3)x^(3/2)+c