JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

The derivative of

\sec ^{-1}\left(\frac{1}{2 x^2-1}\right)

with respect to

\sqrt{1-x^2}

x=\frac{1}{2}

, is

View answer and explanation

Correct option: B

Option B (4) is correct because by substituting

x = cos(\theta)

, we can simplify the inverse trigonometric function and then find the derivative with respect to

\sqrt{1-x^2}

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