Differentiate the functions w.r.t. \( x \) : \[ \sin ^{-1}\left(\frac{a+b \cos x}{b+a \cos x}\ri...

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Differentiate the functions w.r.t. \( x \) :
\[
\sin ^{-1}\left(\frac{a+b \cos x}{b+a \cos x}\right)
\]
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