Use a computer algebra system to plot y2 = x3 4x for 4 x 4, 4 y 4. Show that if dx/dy =

Chapter 3, Problem 75

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Use a computer algebra system to plot y2 = x3 4x for 4 x 4, 4 y 4. Show that if dx/dy = 0, then y = 0. Conclude that the tangent line is vertical at the points where the curve intersects the x-axis. Does your plot confirm this conclusion?

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