Question

Consider the function f(x) = ln (x) when x>0 1) Find df (x) / dx and...

Consider the function f(x) = ln (x) when x>0

1) Find df (x) / dx and d^2 f(x) / dx^2

2) Is F(x) convex or concave? Why?

3) Graph

4) Calculate the second order Taylor approximation to f(x) around x=e

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