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November 26, 2014

Homework Help: Instantaneous rate of change

Posted by Kjd on Wednesday, May 23, 2012 at 11:10pm.

Please help..

Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45. He also determines the instantaneous rate of change at x = 0, π, and 2π by inspection. Based on this information, determine an equation r(x) to predict the instantaneous rate of change of the function y=cos x on the interval xE[0,2π]. Then use the equation to calculate the exact instantaneous rate of change at x = π/4.

Please show steps-by-steps, thank you.

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