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 July 25, 2026 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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