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5. a) Use Desmos to find the slope of the tangent to the curve y = sin(2x) at each x value given in the following

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5. a) Use Desmos to find the slope of the tangent to the curve y = sin(2x) at each x value given in the following table and then find a trig equation that will pass through these points. State the equation. [5K] Slope of Tangent O IT / 4 IT / 2 31 / 4 51 / 4 31 / 2 71 / 4 2n b) Make an educated guess as to what the derivative would be for y = cos(2x) without finding the slopes of the tangents. Explain how you came up with this answer. [2C]

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