Question: (3 marks] Consider the function f(x) = re-. (a) Show that the derivative is f'(x) = 1-x (b) Find all critical points and classify them

(3 marks] Consider the function f(x) = re-. (a) Show that the derivative is f'(x) = 1-x (b) Find all critical points and classify them as relative maximum, relative minimum or neither. (c) Find global maximum and minimum of this function on [0, 1000]

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