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

The Correct Option is C

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