If \sin y=x \sin (a+y), prove that \frac{d y}{d x}=\frac{ \sin ^2(a+y)}{ \sin a} OR If ( \sin x)^y=x+y, find \frac{d y}{d x}.

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 16 of 29

Marks: +1, -0

sin \;y=x sin \;(a+y)

, prove that

\;{d y}/{d x}=\;{ sin \;^2(a+y)}/{ sin \;a}

OR
If

( sin \;x)^y=x+y

, find

\;{d y}/{d x}

Solution:

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