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If Y = Sin − 1 X + Cos − 1 X ,Find D Y D X ? - Mathematics

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प्रश्न

If \[y = \sin^{- 1} x + \cos^{- 1} x\] ,find \[\frac{dy}{dx}\] ?

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उत्तर

\[\text{ We have, y } = \sin^{- 1} x + \cos^{- 1} x\]

\[ \Rightarrow y = \frac{\pi}{2} ............\left[ \because \sin^{- 1} x + \cos^{- 1} x = \frac{\pi}{2} \right] \]

\[\Rightarrow \frac{dy}{dx} = 0\]

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अध्याय 11: Differentiation - Exercise 11.09 [पृष्ठ ११८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 11 Differentiation
Exercise 11.09 | Q 13 | पृष्ठ ११८

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