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# SurCalCh3Sec4 - If the answer is 0 or undefined the 2 nd...

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Survey Calculus, 3.4—Further Applications of Optimization 2 nd Derivative Test – Sometimes a quick way to test whether a particular critical value is a max or min. To use the 2 nd Derivative Test you, find the critical values, and plug them into the second derivative. If the answer that you get is negative (concave down) then you have a relative max there. If the answer that you get is positive (concave up) you have a relative min there.
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Unformatted text preview: If the answer is 0 or undefined the 2 nd Derivative Test tells you nothing. Example: use the 2 nd Derivative Test to find the extrema for 6 3 3 ) ( 2 3 + + − = x x x x f Price and Quantity Functions Hint: Let x=number of price reductions or increases Total Profit= Total Revenue – Total Cost= (Price times number of items sold) – (fixed costs + variable costs) Example#2 General #10...
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