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Consider the function f(x) = 13x - 2 We will take steps to find the tangent line to the graph of f azt the general point (x, f(x)), and use it to find a tangent line with a specific property. For my point (x, f(x)) on the graph. of f let (x + h, f(x + h)) be another point on the graph of f, where h 0. The slope of the (secant) line joining the two points (x, f(x)) and (x + h, f(x + h)) can be simplified to the form A / 13x - 2 + 13(x + h) - 2, where A is a constant. Find A. Answer. A = By considering the slope of the secant line as h approaches 0, find the slope of the tangent line to the graph of f at the point (x, f(x)) Answer. The slope of the tangent line to the graph of f at the point (x, f(x)) is . Note The correct answer should be an expression in x. At which point on the graph of f is the tangent line parallel to the line y = 13 / 10x? Answer. The tangent line to the graph of f at the point ( , ) is parallel to the line y = 13 / 10x.
Show transcribed image textConsider the function f(x) = 13x - 2 We will take steps to find the tangent line to the graph of f azt the general point (x, f(x)), and use it to find a tangent line with a specific property. For my point (x, f(x)) on the graph. of f let (x + h, f(x + h)) be another point on the graph of f, where h 0. The slope of the (secant) line joining the two points (x, f(x)) and (x + h, f(x + h)) can be simplified to the form A / 13x - 2 + 13(x + h) - 2, where A is a constant. Find A. Answer. A = By considering the slope of the secant line as h approaches 0, find the slope of the tangent line to the graph of f at the point (x, f(x)) Answer. The slope of the tangent line to the graph of f at the point (x, f(x)) is . Note The correct answer should be an expression in x. At which point on the graph of f is the tangent line parallel to the line y = 13 / 10x? Answer. The tangent line to the graph of f at the point ( , ) is parallel to the line y = 13 / 10x.