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Question 23 (A) Find the derivative of tan^(−1) 𝑥 with respect to log 𝑥; (where 𝑥∈(1,∞) ).Derivative of tan^(−1) 𝑥 with respect to log 𝑥 is (𝑑(tan^(−1)⁡𝑥))/(𝑑(log⁡𝑥)) =(𝑑(tan^(−1)⁡𝑥 )/𝑑𝑥)/(𝑑(log⁡𝑥 )/𝑑𝑥) =(1/(1 + 𝑥^2 ))/(1/𝑥) =1/(1 + 𝑥^2 ) ×𝑥/1 =𝒙/(𝟏 + 𝒙^𝟐 )

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo