Ex 5.4, 8 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 5.4, 8 Differentiate w.r.t. x in, logโก(logโก๐ฅ), x > 1Let ๐ฆ = log โก(logโก๐ฅ) Differentiating both sides ๐ค.๐.๐ก.๐ฅ ๐(๐ฆ)/๐๐ฅ = (๐(log โก(logโก๐ฅ)) )/๐๐ฅ ๐๐ฆ/๐๐ฅ = 1/logโก๐ฅ ร ๐(logโก๐ฅ)/๐๐ฅ ๐๐ฆ/๐๐ฅ = 1/logโก๐ฅ ร 1/๐ฅ ๐ ๐/๐ ๐ = ๐/(๐ ๐๐๐โก๐ ) (๐ด๐ ๐/๐๐ฅ (๐๐๐โก๐ฅ )= 1/๐ฅ) (๐ด๐ ๐/๐๐ฅ (๐๐๐โก๐ฅ )= 1/๐ฅ)
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