Question: 2. [5 points] Consider the function ; Lo 5 3 1 2 1 T A Ak T o (a) [1 point] What is the derivative

2. [5 points] Consider the function ; Lo 5 3 1 2 1 T A Ak T o (a) [1 point] What is the derivative '(z)? (b) [2 points] For what range around z = 1 is the function g(z) invertible? Hint: You will need to find a solution to an equation numerically (should be easy to do by trial- and-error). Please go on to the next page. .. Page 1 of 2 MAT9004 Mathematical foundations for data science and Al Assignment 1 () [2 points] Is the function g(x) convex over the interval [0,1]? Use the second derivative of g to justify your

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