Question

Suppose z = f(x, y) is homogeneous of degree k. Which of the following statements is true?

• A. $\frac{\delta \text{z}}{\delta x}$ is homogeneous of degree (k-2)
• B. $\frac{\delta^2 \text{z}}{\delta y\delta x}$ is homogeneous of degree (k-1)
• C. $\frac{\delta^2 \text{z}}{\delta y^2}$ is homogeneous of degree (k-2)
• D. $\frac{\delta^2 \text{z}}{\delta x\delta y}$ is homogeneous of degree (k-1)

Answer 1

Answer: (C)

$\frac{\delta^2 \text{z}}{\delta y^2}$ is homogeneous of degree (k-2)

Answer 2

The correct answer is (C) : $\frac{\delta^2 \text{z}}{\delta y^2}$ is homogeneous of degree (k-2)