ddxSin−1⁡5x+121−x213= - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
$\frac{1}{\sqrt{1 - x^{2}}}$
B
$\frac{- 1}{\sqrt{1 + x^{2}}}$
C
$\frac{2}{\sqrt{1 - x^{2}}}$
D
0

Solution:

$y = {Sin}^{- 1} (\frac{5 x + 12 \sqrt{1 - x^{2}}}{13}) p u t x = \sin θ \Rightarrow y = \sin^{- 1} (\frac{5 \sin θ + 12 \cos θ}{13}) \Rightarrow y = \sin^{- 1} (\cos α \sin θ + \sin α \cos θ), w h e r e \sin α = \frac{12}{13}, \cos α = \frac{5}{13} \Rightarrow y = \sin^{- 1} (\sin (θ + α)) = θ + α \Rightarrow y = \sin^{- 1} x + α \Rightarrow \frac{d y}{d x} = \frac{1}{\sqrt{1 - x^{2}}}$

$\frac{d}{d x} \{{Sin}^{- 1} (\frac{5 x + 12 \sqrt{1 - x^{2}}}{13})\} =$

Solution:

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