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#1 2007-11-05 04:13:50

byron
Member
Registered: 2007-11-05
Posts: 1

Which chain rule?

Hello,

A population grows exponentially.

is the flow of births at time t, where p(t, x) is the proportion of those born t-x years ago and still alive at age x and m(t, x) is the proportion of those reproducing at age x at time t.

It follows:

(1)

is an age-specific change in the risk of dying.

According to the author "using the appropriate chain rule" it follows from (1) that:

What is the "appropriate chain rule" the author is talking about? Unfortunately, I only know one chain rule. Could someone show me an intermediate step, please?

Thanks in advance and best regards,
Sebastian

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#2 2007-11-07 07:16:16

Krizalid
Member
Registered: 2007-03-09
Posts: 51

Re: Which chain rule?

It means you to apply the Leibniz Rule for differentiation under the integral sign. Do you know what is it?

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