If `f(x)=|logx|,xgt0`,find` f^(prime)(1/e)a n df^(prime)(e)`

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𝑰𝒇 f(x)=𝒍𝒊𝒎𝒉→𝟎 𝐬𝐢𝐧(𝒙+𝒉)^𝐥𝐨𝐠𝒙+𝒉−𝐬𝐢𝐧 𝒙^𝐥𝐨𝐠 𝒙/𝒉 then find f(𝝅/𝟐) |jee mains important derivatives| math 𝑰𝒇 f(x)=𝒍𝒊𝒎𝒉→𝟎 𝐬𝐢𝐧(𝒙+𝒉)^𝐥𝐨𝐠𝒙+𝒉−𝐬𝐢𝐧 𝒙^𝐥𝐨𝐠 𝒙/𝒉 then find f(𝝅/𝟐) |jee mains important derivatives| math
If `f(x)=log(logx)," then "f If `f(x)=log(logx)," then "f'(e)=`
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If `f(x)=(log)_(x^2)(logx),` then `f^(prime)(x)` at `x=e` is 0 (b) 1 (c) `1/e` (d) `1/2e` If `f(x)=(log)_(x^2)(logx),` then `f^(prime)(x)` at `x=e` is 0 (b) 1 (c) `1/e` (d) `1/2e`