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Unformatted text preview: Let f ( x ) = y = e 2 x . (a) Calculate f ( x ), f 00 ( x ), f 000 ( x ), f 0000 ( x ). (b) Find a general formula for f ( n ) ( x ). 4. [3 marks] Find all of the critical points of the function g ( x ) = 5 x 2 / 3 + x 5 / 3 . Note: You must clearly demonstrate that you have checked all ways of ﬁnding critical numbers, and that these numbers are in the domain of g . Give a sentence answer....
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