JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=\log _e\left(\log _e x\right)

, then

e^y \frac{d y}{d x}

is equal to

View answer and explanation

Correct option: B

\frac{1}{x}

Option B (1/x) is correct because after applying the chain rule and simplifying, the expression e^y * dy/dx simplifies to 1/x.

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