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differentiating with respect to time

Hi
How do i differentiate k=KAL k= \frac{K}{AL} with respect to time?

I know that I am meant to get the following, but I do not know how:

k˙=K˙ALKL(A˙A2)KA(L˙L2) \dot{k} = \frac{\dot{K}}{AL} - \frac{K}{L}(\frac{\dot{A}}{A^{2}})-\frac{K}{A}(\frac{\dot{L}}{L^{2}})

Thanks for any help
(edited 12 years ago)
This is the equation used to derive the fundamental equation of the Solow Model.

If you were to do it in steps, you're basically dividing everything with efficient units of labour i.e AL and then using the quotient rule..
Reply 2
Original post by cookiedough101
This is the equation used to derive the fundamental equation of the Solow Model.

If you were to do it in steps, you're basically dividing everything with efficient units of labour i.e AL and then using the quotient rule..


thanks ive got it

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