Let M(x) := In Ixl for x :f: 0 and M(O) := O.Show that M'(x) = l/x for all x

Chapter 10, Problem 12

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Let M(x) := In Ixl for x :f: 0 and M(O) := O.Show that M'(x) = l/x for all x :f:O.Explainwhy it does not follow that J~z(1/x) dx = In1- 21-ln2 = O.

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