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it's David Autor. The title could be more closer to the actual problem.
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edit approved Oct 28, 2019 at 14:56
E. Sommer
edit approved Oct 28, 2019 at 14:56
E. Sommer
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Trying to understand integration and differentiation of certain equations in one of Acemoglu and Artor's Lecture notes Question on Labor EconomicsHuman Capital Accumulation Model by Acemoglu/Autor

I was reading the lecture notes by Acemoglu and ArtorAutor on Labour Economics. https://economics.mit.edu/files/4689

I was able to understand equations 1.1 to 1.8 of the notes; however, I am unable to understand how equations 1.9 and 1.10 were derived from equations 1.8 and 1.9 respectively. I understand that integration and differentiation was applied, but I am not able to figure out the exact steps involved.

For the transition from equation 1.8 to 1.9, I tried to understand in terms of general power rule and general exponential rule of integration, but there are so many terms involved that I am unable to think how these rules apply.

For the transition from 1.9 to 1.10, I tried to understand in terms of general product rule and quotient rule of differentiation, but I am unable to figure out exact steps.

I would deeply appreciate if anyone could help me understand these steps. Please let me know if any other info is required from me.

Thank you.

Trying to understand integration and differentiation of certain equations in one of Acemoglu and Artor's Lecture notes on Labor Economics

I was reading the lecture notes by Acemoglu and Artor on Labour Economics. https://economics.mit.edu/files/4689

I was able to understand equations 1.1 to 1.8 of the notes; however, I am unable to understand how equations 1.9 and 1.10 were derived from equations 1.8 and 1.9 respectively. I understand that integration and differentiation was applied, but I am not able to figure out the exact steps involved.

For the transition from equation 1.8 to 1.9, I tried to understand in terms of general power rule and general exponential rule of integration, but there are so many terms involved that I am unable to think how these rules apply.

For the transition from 1.9 to 1.10, I tried to understand in terms of general product rule and quotient rule of differentiation, but I am unable to figure out exact steps.

I would deeply appreciate if anyone could help me understand these steps. Please let me know if any other info is required from me.

Thank you.

Question on Human Capital Accumulation Model by Acemoglu/Autor

I was reading the lecture notes by Acemoglu and Autor on Labour Economics. https://economics.mit.edu/files/4689

I was able to understand equations 1.1 to 1.8 of the notes; however, I am unable to understand how equations 1.9 and 1.10 were derived from equations 1.8 and 1.9 respectively. I understand that integration and differentiation was applied, but I am not able to figure out the exact steps involved.

For the transition from equation 1.8 to 1.9, I tried to understand in terms of general power rule and general exponential rule of integration, but there are so many terms involved that I am unable to think how these rules apply.

For the transition from 1.9 to 1.10, I tried to understand in terms of general product rule and quotient rule of differentiation, but I am unable to figure out exact steps.

I would deeply appreciate if anyone could help me understand these steps. Please let me know if any other info is required from me.

Thank you.

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Nusrat
Nusrat
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Trying to understand integration and differentiation of certain equations in one of Acemoglu and Artor's Lecture notes on Labor Economics

I was reading the lecture notes by Acemoglu and Artor on Labour Economics. https://economics.mit.edu/files/4689

I was able to understand equations 1.1 to 1.8 of the notes; however, I am unable to understand how equations 1.9 and 1.10 were derived from equations 1.8 and 1.9 respectively. I understand that integration and differentiation was applied, but I am not able to figure out the exact steps involved.

For the transition from equation 1.8 to 1.9, I tried to understand in terms of general power rule and general exponential rule of integration, but there are so many terms involved that I am unable to think how these rules apply.

For the transition from 1.9 to 1.10, I tried to understand in terms of general product rule and quotient rule of differentiation, but I am unable to figure out exact steps.

I would deeply appreciate if anyone could help me understand these steps. Please let me know if any other info is required from me.

Thank you.