Suppose we are given that the value of a particular utility function is a constant. That is, U(X,Y) = c. Then, the total derivative of this relation is:

Question

Quizplus · Accepted Answer

The total derivative of the utility function U(X,Y) = c can be found as follows:

dU/dX + dU/dY = 0

Since U(X,Y) = c, this can be rewritten as:

d(c)/dX + d(c)/dY = 0

But the derivative of a constant is zero, so this reduces to:

0 + 0 = 0

Therefore, the total derivative of U(X,Y) = c is zero. Option B represents the mathematical expression of zero.

Suppose We Are Given That the Value of a Particular