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Unit: Analyzing functions with calculus

About this unit

Let's put all of our differentiation abilities to use, by analyzing the graphs of various functions. As you will see, the derivative and the second derivative of a function can tell us a lot about the function's graph.

Critical points

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Increasing & decreasing intervals

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Practice

Relative minima & maxima

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Practice

Absolute minima & maxima

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Practice

Review: Increasing/decreasing intervals & extrema

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Concavity

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Practice

Points of inflection

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Practice

Sketching graphs using calculus

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Review: Concavity & points of inflection

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Practice