Filed under: calculus differentiation problems, calculus how to do it, math applications, Physics problem with solution, Worked out Calculus problems Tagged: calculus applications, derivatives, model rocket, physics ]]>

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H Calc guidance for Final This is a revised edition at 11:30 pm, 5/3.

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An example might be, if a company making a product has a profit that is simultaneously a function of labor costs and material costs, sometimes it is beneficial to analyze the profit to see how the rate of change of profit varies with the changes of each of the variables separately. This could answer the question, for example,: “Assume the cost of the materials stay constant, how would the profit vary with the change in labor costs.”

The variable that is assumed to stay constant is treated like a regular constant when taking the derivative “with respect to” the other variable. See some worked out problems in the following two links to further clarify this explanation. Note the special symbol used to denote the **P**artial derivative.

Do the odd numbered problems for homework.

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I am including the link so that those who missed the video will be able to make it up. There will be up to 10 points on the final based on this video. The video presents ideas of mathematics unlike anything you’ve learned in any math course, and gives a glimpse of where math and science is headed.

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Homework: HW 4 12 16

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homework:

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If you were not in class you are still responsible for this work.

classwork 3-30-16 including solutions

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