Question

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

Answer 1

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

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

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