Question

A) Compare the pros and cons of finding extrema using First-Derivative Test and Second-Derivative Tests. Also comment on why when f"(c) > 0, then f(c) is a relative minimum and when f"(c) < 0, then f(c) is a relative maximum.  

B) Please come up with a scenario (other than the examples given in a textbook) and use it to clearly demonstrate primary and secondary equations.

Guidelines for Solving Optimization Problems 1. Identify all given quantities and all quantities to be determined. If possible, make a sketch 2. Write a primary equation for the quantity that is to be maximized or minimized 3. Reduce the primary equation to one having a single independent variable. This may involve the use of a secondary equation that relates the independent variables of the primary equation. 4. Determine the feasible domain of the primary equation. That is, determine the values for which the stated problem makes sense. 5. Determine the desired maximum or minimum value by the calculus techniques

Answer 1

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