Graphing with Calculus

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Graphing with Calculus
Graph the polynomial f. Use the graphs of the
first and second derivative of f to estimate all
maximum and minimum points and intervals of
concavity.
Find an adequate domain to view detail of graph..
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Graphing with Calculus
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Graphing with Calculus
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Graphing with Calculus
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Graphing with Calculus
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Graphing with Calculus
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Graphing with Calculus
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Graphing with Calculus
Produce graphs of f that reveal all the important
aspects of the curve. Estimate the intervals of
increase and decrease, extreme values, intervals
of concavity, and inflection points and then use
calculus to find the quantities exactly.
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Graphing with Calculus
Increasing/decreasing test.
1st. Derivative test.
Concavity test
The second derivative test..