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(Solved): 2. Suppose that f:(0,00)R satisfies f(x)-f(y) = f(x/y) for all x,y (0,00) and f(1) = 0. Pro ...



2. Suppose that f:(0,00)?R satisfies f(x)-f(y) = f(x/y) for all x,y € (0,00) and f(1) = 0. Prove that f
is differentiable on

2. Suppose that f:(0,00)?R satisfies f(x)-f(y) = f(x/y) for all x,y € (0,00) and f(1) = 0. Prove that f is differentiable on (0,00) if and only if f is differentiable at 1.


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