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

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 tangent line at (a, F(a)). For the differentiable functions given in Exercises 48–51, (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)).