JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

The differential coefficient of

\cos ^{-1}\left\{\sqrt{\frac{1+x}{2}}\right\}

with respect to

x

is:

View answer and explanation

Correct option: A

-\frac{1}{2 \sqrt{1-x^2}}

Option A (-1/(2 sqrt(1-x²))) is correct because it is the derivative of the given function after simplification using trigonometric identities.

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x

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\frac{{dy}}{{dx}}

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