z=ye∧xy+sin(xy)的二阶偏导数

2025-04-28 02:04:00
推荐回答(1个)
回答1:

z=x³+y³-3xy(x-y)
∂z/∂x=3x²-3y(x-y)-3xy=3x²-6xy+3y²
∂z/∂y=3y²-3x(x-y)+3xy=3y²+6xy-3x²
∂²z/∂x²=6x-6y
∂²z/∂x∂y=6y+6x
∂²z/∂y²=6x-6y