高数,这题怎么做的,我怎么算都不对

2025-12-15 04:27:47
推荐回答(1个)
回答1:

z=xln(x+y)
∂z/∂x=x/(x+y) + ln(x+y)
∂z/∂y=x/(x+y)
∂²z/∂x²=(x+y-x)/(x+y)² +1/(x+y)
=(y+x+y)/(x+y)²
=(x+2y)/(x+y)²
∂²z/∂y²=-x/(x+y)²
∂²z/∂x∂y=-x/(x+y)² +1/(x+y)
=(-x+x+y)/(x+y)²
=y/(x+y)²