Q. 205.0( 4 Votes )

Differentiate with respect to if –1 < x < 1.

Answer :

Let and


We need to differentiate u with respect to v that is find.


We have


By substituting x = tan θ, we have





Given, –1 < x < 1 x ϵ (–1, 1)


However, x = tan θ


tan θ ϵ (–1, 1)




Hence,



On differentiating u with respect to x, we get




We know and derivative of a constant is 0.




Now, we have


On differentiating v with respect to x, we get




We know





We know and derivative of a constant is 0.





We have





Thus,


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses