
CBSE Class 12 Sample Paper for 2025 Boards
CBSE Class 12 Sample Paper for 2025 Boards
Last updated at Dec. 13, 2024 by Teachoo
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(log𝑥)) =(𝑑(tan^(−1)𝑥 )/𝑑𝑥)/(𝑑(log𝑥 )/𝑑𝑥) =(1/(1 + 𝑥^2 ))/(1/𝑥) =1/(1 + 𝑥^2 ) ×𝑥/1 =𝒙/(𝟏 + 𝒙^𝟐 )