Q. 4 B4.0( 4 Votes )

Differentiate <sp

Answer :

Given x ϵ (–1, 0)

However, x = cos θ.


cos θ ϵ (–1, 0)



Hence, u = sin–1(sin θ) = π – θ.


u = π – cos–1x


On differentiating u with respect to x, we get




We know and derivative of a constant is 0.




Now, on differentiating v with respect to x, we get




We have





Thus,


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