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The function f(x) = 6x) and its tangent line at x = e is shown. Each tick mark on the graph is in steps of

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The function f(x) = 6x) and its tangent line at x = e is shown. Each tick mark on the graph is in steps of e. Ay 19.03- The y-intercept of the tangent line is (0, - 6e). Complete 13.59 parts a-b below. 10.87 a 8.15- 5.44- 272- X O- -5.44- 2./2 5 4 8.15 -8.15 -10.87- 59- - 19 .03 a. What is the instantaneous rate of change of f(x) = 6xin(*) at x = e? (Round to the nearest integer as needed.) b. The minimum of the function occurs at x = 1. The tangent line at the point x = 1 is shown. (Each tick mark on the graph 19.03- is still in steps of e.) 13.59 1 10.87- 8.15- The slope of the tangent line at the value of x = 1 is 5:44- 2 72- X The equation of the tangent line is -2.72- 2.72 5.44 8.15 -10.87

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