Question: 16. Consider the function f (x) = e x - e-3% where x 2 0. [10 marks] a) Determine the exact point on the curve

16. Consider the function f (x) = e x - e-3% where x 2 0. [10 marks] a) Determine the exact point on the curve for which the first derivative = 0. b ) Use a derivative test to determine if the point you found in a) is a maximum. c) Determine the second derivative and find any points of inflection. d ) Determine the limit as xapproaches infinity. Sketch the graph of the curve labelling the points you found in a) and c)

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