JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

For

\mathrm{x}>1

, if

(2 x)^{2 y}=4 e^{2 x-2 y}

, then

\left(1+\log _{e} 2 x\right)^{2} \frac{d y}{d x}

is equal to :

View answer and explanation

Correct option: A

\frac{x \log _{e} 2 x-\log _{e} 2}{x}

Option A (

\frac{x \log _{e} 2 x-\log _{e} 2}{x}

) is correct because it is the result of differentiating the given equation and solving for the expression

(1+\log _{e} 2 x)^{2} \frac{d y}{d x}

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