The point P (1/2,8) lies on the curve y=4/x. If Q is the point, (x,4/x),...
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The point P (1/2,8) lies on the curve y=4/x. If Q is the point, (x,4/x), find the slope of the secant line PQ for the following values of x.If x = 0.6, the slope of PQ is: 40/3and if x = 0.51, the slope of PQ is: -18and if x = 0.4, the slope of PQ is: -20and if x = 0.49, the slope of PQ is: -18Based on the above results, guess the slope of the tangent line to the curve at P(0.5, 8): -16
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