JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y = \log \left\{ {{{\left( {\frac{{1 + x}}{{1 - x}}} \right)}^{\frac{1}{4}}}} \right\} - \frac{1}{2}{\tan ^{ - 1}}x

, then

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

View answer and explanation

Correct option: B

\frac{{{x^2}}}{{1 - {x^4}}}

Option B (

\frac{{{x^2}}}{{1 - {x^4}}}

) is correct because it is the simplified derivative after applying logarithmic and inverse trigonometric differentiation rules.

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