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  • If y = log (sin x), then <img alt="\frac{d^2 y}{d x^2}" src="https://entrancecorner.oncodeco

If y = log (sin x), then \frac{d^2 y}{d x^2} is

Option: 1

–cosec2x


Option: 2

sec2x


Option: 3

–cosecx cot x


Option: 4

secx tanx


Answers (1)

best_answer

y = log (sin x) \Rightarrow \frac{d y}{d x}=\frac{\cos x}{\sin x}=\cot x

\Rightarrow \frac{d^2 y}{d x^2}=-\operatorname{cosec}^2 x

Hence (A) is correct answer

Posted by

Suraj Bhandari

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