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Question 1 [20 marks in total] For each part, determine the domain of each expression (the...

Question 1 [20 marks in total] For each part, determine the domain of each expression (the set of real number x for which the expression is meaningful) and find its derivative.

  1. [5 marks] (Straight forward) f(x) = x+3 . x−5

  2. [5 marks] (Straight forward) f (x) = exp(x sin(x3 − 6)).

  3. [5 marks] (Straight forward) f (x) = exp(− exp(−x)).

  4. [5 marks] (Straight forward) f(x) = log(x2 − 5x + 6). (Remember that log means the “natural log”, or what some authors call ln.)

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