Let f be a function whose graph does not pass through the x-axis and let Q = (a, 0). Let
Chapter 4, Problem 67(choose chapter or problem)
Let f be a function whose graph does not pass through the x-axis and let Q = (a, 0). Let P = (x0, f (x0)) be the point on the graph closest to Q (Figure 5). Prove that P Q is perpendicular to the tangent line to the graph of x0. Hint: Find the minimum value of the square of the distance from (x, f (x)) to (a, 0). y x y = f(x) P = (x0, f(x0)) Q = (a, 0)
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