Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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Differentiate Sin(Log Sin X) ? - Mathematics

Sum

Differentiate sin(log sin x) ?

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Solution

Let y = sin (log sin x)

Differentiate it with respect to x We get,

`(dy)/(dx)=d/(dx)sin (log sin x)`

`=cos (log sin x)d/(dx)(log sin x)`       [Using chain rule]

`=cos (log sin x)xx1/(sin x)d/(dx)sin x`         [Using chain rule]

`=cos (log sin x)(cos x)/(sin x)`

`=cos (log sin x) cot x`

Hence, `d/(dx)sin (log sin x) = cos (log sin x) cot x`

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APPEARS IN

RD Sharma Class 12 Maths
Chapter 11 Differentiation
Exercise 11.2 | Q 22 | Page 37
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