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2. (10) Suppose a function f has the property f (ab) = f(a) + f(b), Va, b > 0. a. Show f (1) = 0.

2. (10) Suppose a function f has the property f (ab) = f(a) + f(b), Va, b > 0. a. Show f (1) = 0. b. Find f' (x) for x > 0, if f' (1) exists

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