As mentioned in the text, if a function F(x) of a single variable is differentiable at

Chapter 2, Problem 49

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As mentioned in the text, if a function F(x) of a single variable is differentiable at a, then, as we zoom in on the point (a, F(a)), the graph of y = F(x) will straighten out and look like its angent line at (a,F(a)) in Exercises 4851, (a) calculate the tangent line at the indicated point, and (b) use a computer to graph the function and the tangent line on the same set of axes. Zoom in on the point of tangency to illustrate how the graph of y = F(x) looks like its tangent line near (a, F(a)).F(x) = x + sin x, a = 4

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