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Math Help - Product Rule problem?

  1. #1
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    Product Rule problem?

    Who can show me the solution of following task:
    "In 1999, the population of this area was 961 400, and the population was increasing at roughly 9200 people per year. The average annual income was $30593 per capita, and this average was increasing at about $1400 per year (a little above the national average of about $1225 yearly). Use the Product Rule and these figures to estimate the rate at which total personal income was rising in the Richmond-Petersburg area in 1999. Explain the meaning of each term in the Product Rule."
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  2. #2
    MHF Contributor
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    Just in case a picture helps... you want to fill up



    ... where T = total income, a = average income, p = population, and...



    ... is the product rule - straight continuous lines differentiating downwards with respect to t.

    Spoiler:

    Spoiler:


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  3. #3
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    thank u so much. seeing your pictures i can do well!
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