Q. 4 B4.0( 4 Votes )

# Differentiate <sp

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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