JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

\frac{d}{{dx}}\left[ {\log \left\{ {{e^x}{{\left( {\frac{{x - 2}}{{x + 2}}} \right)}^{\frac{3}{4}}}} \right\}} \right]

is equal to

View answer and explanation

Correct option: C

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

Option C (

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

) is correct because it is the result of applying logarithmic and derivative rules to the given expression.

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