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Math · Advanced Math
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Could someone explain me what they did at the red circle?

EXAMPLE 5.4 We prove that the function f on (0, oo), defined by is differentiable and that the derivative function f, on (0.00) is given by f,(x) Let c > 0. For Δ2.0 (with c+ Ar > 0) it holds that so that f) - li differentiable and the derivative function f on (0, oo) is given by f(x) Since this is true for every c > 0, the function f is

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