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Who has the Power? Today you will investigate the slope of polynomial Parent Graphs and infer an important rule.

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Warm-Up Each team member should compute one of these derivatives using the IROC method.

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Tangent Lines Notice that a tangent to the graph has been drawn at x=1. On the resource page, carefully draw tangents to the curve at x=2, x=4, and x=6 using a straight edge.

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Tangent Lines Write a slope statement for (Describe what is happening with the slope.)

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Tangent Lines If this graph represented the position of a roller coaster during its first 6 seconds, where was it moving the fastest? Where was it moving the slowest? How did you determine your answers?

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Looking at the slopes graphically On the resource pages, carefully draw tangents to the curve at x = -3, -2, -1, 0, 1, 2, and 3. Compare the slopes of the tangent lines you drew to the slope of the tangent that you get by plugging in the x-values into the slope function (computed in warm-up). What do you notice?

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Derivative of a Constant

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Positive Integer Powers

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A function multiplied by a constant

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Sums and Differences of Functions

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Let’s Practice Some Given the following expressions for f, find an expression for f ’

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For which of the following functions can we apply the Power Rule?

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Use the Power Rule to find

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Assignment HW A See y u t m rr w!

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