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5. Consider the functions 8 e'I e\"5 + e'I 2 and [3(33) _ 2 In this question, you may freely use the fact that 2(w) 6:2 (3:) = 1. (i) \"Verify that a'(a:) = [3(3) and 3(a) = a(x). (ii) - The function a is invertible. Use the Inverse Function Theorem to compute the derivative of 011. Simplify as much as possible, using the fact that ,82(:c) i a2 (3:) = 1 to write your answer Without any oe's or 5's. (iii) _ The inverse of oz can be explicitly computed to be 011(CB) = ln($ + Va? + 1). Compute the derivative of (21 (this time without using the Inverse Function Theorem) and conrm that you get the same answer as part (ii). (1(32) =