Q. 5 A5.0( 1 Vote )

# Differentiate <sp

Let and .

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

We have  By substituting 2x = cos θ, we have   [ sin2θ + cos2θ = 1]

u = sin–1(2 cos θ sin θ)

u = sin–1(sin2θ)

Given However, 2x = cos θ     Hence, u = sin–1(sin 2θ) = π – 2θ.

u = π – 2cos–1(2x)

On differentiating u with respect to x, we get   We know and derivative of a constant is 0.    However,   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 :

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