21 Apr '07 13:18

I'm having problems with this exercise on implicit differentiation:

If K^1/3 L^1/3 = 24, compute dL/dK by implicit differentiation.

What I get so far:

1/3K^-2/3 L^1/3 + 1/3K^1/3 L^-2/3 (dL/dK) = 0

Then solving for (dL/dK) = (1/3K^-2/3 L^1/3) / -(1/3K^1/3 L^-2/3)

But I don't know how to solve the last part, (1/3K^-2/3 L^1/3) / -(1/3K^1/3 L^-2/3) that is....🙁

If K^1/3 L^1/3 = 24, compute dL/dK by implicit differentiation.

What I get so far:

1/3K^-2/3 L^1/3 + 1/3K^1/3 L^-2/3 (dL/dK) = 0

Then solving for (dL/dK) = (1/3K^-2/3 L^1/3) / -(1/3K^1/3 L^-2/3)

But I don't know how to solve the last part, (1/3K^-2/3 L^1/3) / -(1/3K^1/3 L^-2/3) that is....🙁