If $y=\frac{1+\log x}{x-x \log x}$, then $d y / d x$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=\frac{1+\log x}{x-x \log x}

, then

d y / d x

is equal to

View answer and explanation

Correct option: B

\frac{x^2 y^2+1}{2 x^2}

The correct answer is A (

\frac{{x^2 y^2+1}}{{2 x^2}}

) because after differentiating the given equation implicitly and substituting the value of

\log x

from the original equation, we arrive at this expression.

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