Let (x) be the angle of the tangent line at x of the graph of f with the horizontal, as

Chapter 0, Problem 66

(choose chapter or problem)

Let (x) be the angle of the tangent line at x of the graph of f with the horizontal, as in Figure 5.90. Show that (a) tan = f (x) (b) 1+(f (x))2 = 1 cos2 (c) d dx = cos2 d dx(tan ) = f(x) 1+(f (x))2 (d) (b) (a) = , b a f(x) 1+(f(x))2 dx

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