Ex 5.4, 8 - Differentiate log (log x) - Chapter 5 Class 12 - Ex 5.4

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Ex 5.4, 8 Differentiate w.r.t. x in, log⁡(log⁡𝑥), x > 1 Let 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﷯﷯

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