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Continuity And Differentiability

Question

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Differentiate the following w.r.t.x :log (log x),x>1

Solution

Let space space space space space space straight y equals log space left parenthesis log space straight x right parenthesis space therefore space dy over dx equals fraction numerator 1 over denominator log space straight x end fraction. straight d over dx left parenthesis log space straight x right parenthesis equals fraction numerator 1 over denominator log space straight x end fraction.1 over straight x equals fraction numerator 1 over denominator straight x space log space straight x end fraction

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