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2.(a) If f(x) is a differentiable function of x, show that the condition number of f is approximately Cond(f) = If' (x) | | 21

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2.(a) If f(x) is a differentiable function of x, show that the condition number of f is approximately Cond(f) = If' (x) | | 21 If (20) 1 (b) What is the condition number of f(x) = x for a real and x > 0? (c) What is the condition number of f(x) = log(log x) for x > 0? Is f ill- conditioned for any x

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