Share

Books Shortlist

# Solution for If Y = Sin − 1 ( 1 − X 2 1 + X 2 ) + Cos − 1 ( 1 − X 2 1 + X 2 ) , Find D Y D X ? - CBSE (Science) Class 12 - Mathematics

ConceptSimple Problems on Applications of Derivatives

#### Question

If $y = \sin^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right) + \cos^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right),\text{ find } \frac{dy}{dx}$ ?

#### Solution

$\text{ We have, y } = \sin^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right) + \cos^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right)$

$\Rightarrow y = \frac{\pi}{2} \left[ \because \sin^{- 1} x + \cos^{- 1} x = \frac{\pi}{2} \right]$ $\Rightarrow \frac{dy}{dx} = 0$

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [1]

Solution for question: If Y = Sin − 1 ( 1 − X 2 1 + X 2 ) + Cos − 1 ( 1 − X 2 1 + X 2 ) , Find D Y D X ? concept: Simple Problems on Applications of Derivatives. For the courses CBSE (Science), CBSE (Commerce), CBSE (Arts), PUC Karnataka Science
S