求对数函数根号xy的偏导数

2025-03-10 22:39:12
推荐回答(1个)
回答1:

Z =ln√(xy)
∂Z/∂x = [1/√(xy)][0.5y/√(xy)] = 1/2x
∂Z/∂y = [1/√(xy)][0.5x/√(xy)] = 1/2y
∂²Z/∂x∂y = 0
∂²Z/∂x² = -1/2x²
∂²Z/∂y² = -1/2y²