67. Let f be a function whose graph does not pass through the x-axis and let Q = (a, 0). Let P = (xo. ƒ(xo)) be the point on the graph closest to Q (Figure 5). Prove that PQ is perpendicular to the tangent line to the graph of xo. Hint: Find the minimum value of the square of the distance from (x, f(x)) to (a, 0). y=f(x) P= (Xo-f(xg)) Q = (a, 0) FIGURE 5

67. Let f be a function whose graph does not pass through the x-axis and let Q = (a, 0). Let P = (xo. ƒ(xo)) be the point on the graph closest to Q (Figure 5). Prove that PQ is perpendicular to the tangent line to the graph of xo. Hint: Find the minimum value of the square of the distance from (x, f(x)) to (a, 0). y=f(x) P= (Xo-f(xg)) Q = (a, 0) FIGURE 5

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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