JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Hard

1 of 1

Analyzing +4 | -1

y = {\log ^n}x,

where

{\log ^n}

means

log\,\,log\,\,log \ldots

(repeated

n

times), then

x\log x\,\,{\log ^2}x\,\,{\log ^3}x \ldots {\log ^{n - 1}}x\,\,{\log ^n}x\,\,\frac{{dy}}{{dx}}

is equal to

View answer and explanation

Correct option: B

{\log ^n}x

The correct answer is B (

{\log ^n}x

) because it is obtained by repeatedly applying the chain rule to the logarithmic function.

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