Use a graphing calculator to verify that the derivative of a linear function is a constant, as follows. Define y1 to be a linear function (such as y1 = 3x - 4) and then use NDERIV to define y2 to be the derivative of y1. Then graph the two functions together on an appropriate window and observe that the derivative y2 is a constant (graphed as a horizontal line, such as y2 = 3), verifying that the derivative of y1 = mx+b is y2 = m.
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