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11 Cards in this Set
- Front
- Back
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Average Cost
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A(x) = C(x)/x
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Minimum Average Cost
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C'(x)=A(x)
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Maximize Profit
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R'(x)=C'(x) and
C''(x) > R''(x) |
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Absolute Max/Min on Closed Interval
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Find critical values and plug into table with intervals flanking the values. Highest y value is absolute mx. Lowest y value is absolute min.
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Maximize Volume
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Find volume function
Then EVP |
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Horizontal Asymptote
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take limit at +- infinity
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Veritcal Asymptote
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where denomiator is 0, but numerator isn't.
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Absolute max/min on open interval
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Apply 2nd derivative test for absolute extrema. ONLY 1 CRITICAL VALUE allowed. Find f''(c). If +, absolute min. If +, absolute max.
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Absolute min/max value
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the y-value.
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Greatest area
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Find area function and maximize using 2nd derivative test or EVP.
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Minimize fencing
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find perimeter function and minimize using EVP or 2nd derivative test.
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