Analyzing Functions and Their Derivatives In x 1) Let f be the function given by f(x)...

 

 

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Analyzing Functions and Their Derivatives In x 1) Let f be the function given by f(x) for all x > 0. The derivative of f is given by f'(x) 1 - ln x x X = e a) Write an equation for the line tangent to the graph of f(x) when x = b) Find the X-coordinate of the critical point of f. Determine whether this point is a relative maximum, relative minimum, or neither of f. Justify your answer. c) The graph of f has exactly one inflection point. Find the x- coordinate of this point. Analyzing Functions and Their Derivatives In x 1) Let f be the function given by f(x) for all x > 0. The derivative of f is given by f'(x) 1 - ln x x X = e a) Write an equation for the line tangent to the graph of f(x) when x = b) Find the X-coordinate of the critical point of f. Determine whether this point is a relative maximum, relative minimum, or neither of f. Justify your answer. c) The graph of f has exactly one inflection point. Find the x- coordinate of this point.