Question 23 (A) - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at February 13, 2025 by Teachoo

Find the derivative of tan^-1x with respect to log x [with Video] - CBSE Class 12 Sample Paper for 2025 Boards

part 2 - Question 23 (A) - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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