JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=\sin x \cdot \sin 2 x \cdot \sin 3 x \ldots \cdot \sin n x

, then

\frac{d y}{d x}=\ldots \ldots

View answer and explanation

Correct option: B

y \sum\limits_{{k=1}}^n k \cot k x

Option B (

y \sum\limits_ {{k=1}}^n k \cot k x

) is correct because by taking the logarithm of both sides and differentiating, we can express dy/dx in terms of y and a sum of cotangents.

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