Question: 2. Consider the function: f(x) = ln(x) when x > 0. i. Find df(x)/dx and d 2 f(x)/dx2 . ii. Is f(x) convex or concave?

2. Consider the function: f(x) = ln(x) when x > 0. i. Find df(x)/dx and d 2 f(x)/dx2 . ii. Is f(x) convex or concave? Why? iii. Graph f(x). iv. Calculate the second order Taylor approximation to f(x) around x = e.

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