Hello,
So I am looking at this problem on page 209 of Fundamental Mathematical Methods of Economics by Alpha Chiang, Example 3 in section 8.3.
I am finding total differential of (x+y)/(2x2)
For doing the partial with respect to x, I think I am ok. I have:
2x2(1) - (x+y)(4x)
4x4
= (2x2 - 4x2-4xy) / (4x4)
= (-2x2-4xy) / (4x4)
= - (x+2y) / 2x3
The partial with respect to y is 1 / (2x2), but I have no idea how I get that. I am very confused as to how to combine quotient rule with partial derivs (when do I drop the "other" variable, and when not?)
Thanks much.
So I am looking at this problem on page 209 of Fundamental Mathematical Methods of Economics by Alpha Chiang, Example 3 in section 8.3.
I am finding total differential of (x+y)/(2x2)
For doing the partial with respect to x, I think I am ok. I have:
2x2(1) - (x+y)(4x)
4x4
= (2x2 - 4x2-4xy) / (4x4)
= (-2x2-4xy) / (4x4)
= - (x+2y) / 2x3
The partial with respect to y is 1 / (2x2), but I have no idea how I get that. I am very confused as to how to combine quotient rule with partial derivs (when do I drop the "other" variable, and when not?)
Thanks much.