Q. 205.0( 4 Votes )

Differentiate <sp

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,


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