Differentiate Sin(Log Sin X) ? - Mathematics

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Differentiate sin(log sin x) ?

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उत्तर

Let y = sin (log sin x)

Differentiate it with respect to x We get,

$\frac{d y}{d x} = \frac{d}{d x} \sin (\log \sin x)$

$= \cos (\log \sin x) \frac{d}{d x} (\log \sin x)$ [Using chain rule]

$= \cos (\log \sin x) \times \frac{1}{\sin x} \frac{d}{d x} \sin x$ [Using chain rule]

$= \cos (\log \sin x) \frac{\cos x}{\sin x}$

$= \cos (\log \sin x) \cot x$

Hence, $\frac{d}{d x} \sin (\log \sin x) = \cos (\log \sin x) \cot x$

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Simple Problems on Applications of Derivatives

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Q 22 Q 21 Q 23

पाठ 11: Differentiation - Exercise 11.02 [पृष्ठ ३७]

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आरडी शर्मा Mathematics [English] Class 12

पाठ 11 Differentiation
Exercise 11.02 | Q 22 | पृष्ठ ३७

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Simple Problems on Applications of Derivatives

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Differentiate Sin(Log Sin X) ? - Mathematics

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