Check sibling questions

Ex 5.4, 8 - Ex 5.4


Transcript

Ex 5.4, 8 Differentiate w.r.t. x in, log⁡(log⁡𝑥), x > 1Let 𝑦 = log ⁡(log⁡𝑥) Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑(𝑦)/𝑑𝑥 = (𝑑(log ⁡(log⁡𝑥)) )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 1/log⁡𝑥 × 𝑑(log⁡𝑥)/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 1/log⁡𝑥 × 1/𝑥 𝒅𝒚/𝒅𝒙 = 𝟏/(𝒙 𝒍𝒐𝒈⁡𝒙 ) (𝐴𝑠 𝑑/𝑑𝑥 (𝑙𝑜𝑔⁡𝑥 )= 1/𝑥) (𝐴𝑠 𝑑/𝑑𝑥 (𝑙𝑜𝑔⁡𝑥 )= 1/𝑥)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.