JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Differential coefficient of

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

with respect to

\sqrt {1 - {x^2}}

x = \frac{1}{2}

is equal to

View answer and explanation

Correct option: B

Option B (4) is correct because after substituting

x = \frac{1}{2}

, the ratio of the derivatives simplifies to 4.

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